assignment 2 room area

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Answer to Question #96157 in Python for Assignment 2: Room Area

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Area of Rooms

Related Topics: Lesson Plans and Worksheets for Grade 3 Lesson Plans and Worksheets for all Grades Common Core For Grade 3 More Lessons for Grade 3 Math

Examples, solutions, and videos to help Grade 3 students learn how to apply knowledge of area to determine areas of rooms in a given floor plan. Common Core Standards: 3.MD.6, 3.MD.7a, 3.MD.7b, 3.MD.7c, 3.MD.7d, 3.MD.5

New York State Common Core Math Grade 3, Module 4, Lesson 15, Lesson 16

Worksheets for Grade 3

Lesson 15 Application Problem Anil finds the area of a 5 inch by 17 inch rectangle by breaking it into 2 smaller rectangles. Show one way that he could have solved the problem. What is the area of the rectangle?

Note: This problem reinforces the strategy of breaking a larger shape apart into 2 smaller shapes to find the total area.

Lesson 15 Concept Development Use a floor plan to find the area in square centimeters of each room in the house.

Lesson 15 Homework Use a ruler to measure the side lengths of each lettered room in centimeters. Then find the area. Use the measurements below to match and label the rooms with the correct areas. Kitchen - 28 square centimeters, Garage - 72 square centimeters Porch - 32 square centimeters, Bedroom - 56 square centimeters Bathroom - 24 square centimeters, Hallway - 12 square centimeters

Lesson 16 Application Problem Find the areas of the large rectangle and the unshaded rectangle. Then subtract to find the area of the shaded region.

Lesson 16 Concept Development Create a floor plan with different side lengths for given areas. Review strategies to find new side lengths of given areas.

Lesson 16 Homework Jeremy plans and designs his own dream playground on grid paper. His new playground will cover a total area of 72 square units. The chart shows how much space he gives for each piece of equipment, or area. Use the information in the chart to draw and label a possible way Jeremy can plan his playground.

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Introduction

Whether you’re looking to lay new flooring, paint your walls, or simply need to estimate the space you have available in a room, calculating its area is an essential skill. In this article, we will guide you through the simple steps to calculate the area of a room in various shapes.

Step 1: Determine the Shape of Your Room

The first step is to identify the shape of your room, as this will determine which formula is best suited for calculating its area. Common room shapes include:

– Rectangular

– Square

– L-shaped

– Trapezoidal

– Circular

Step 2: Measure the Necessary Dimensions

Now that you’ve identified the shape of your room, it’s time to measure its dimensions.

For Rectangular and Square Rooms:

– Measure the length and width of the room in feet or meters (whichever unit you prefer).

For L-Shaped Rooms:

– Divide the room into two rectangles by drawing an imaginary line across its central diagonal.

– Measure the length and width of each rectangle separately.

For Trapezoidal Rooms:

– Measure both parallel sides (base and top) and perpendicular height of the trapezoid.

For Circular Rooms:

– Measure the diameter (the distance across the circle through its center point).

Step 3: Apply Appropriate Formulas

After obtaining all necessary measurements, it’s time to apply a specific formula for each room shape to calculate its area.

Area = Length × Width

Area = (Length1 × Width1) + (Length2 × Width2)

Area = ½ × (Base + Top) × Height

Area = π × (Diameter/2)^2 or Area = π × Radius^2

*Note: π (pi) is a constant value approximately equal to 3.14159.

Step 4: Calculate the Area

Plug your measurements into the appropriate formula and calculate the area of your room.

For a rectangular room with a length of 20 feet and a width of 12 feet, the area would be:

Area = 20 ft × 12 ft = 240 square feet

Calculating the area of a room is a straightforward process once you’ve identified the room’s shape and taken accurate measurements. By following these simple steps, you will be able to determine the exact area of any room, allowing you to make informed decisions for renovation projects or space planning.

How to Calculate the Area of a ...

Matthew Lynch

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Square Footage Calculator

Use this square footage calculator to easily calculate the area of a rectangular room or a room with a more complex shape. Room size calculation in square feet. Optional price field for calculating dollar costs. Formulas and explanation below.

Related calculators

• How to calculate square footage
• Square footage for a room with a complex shape
• From square footage to total price of a construction or decoration project

    How to calculate square footage

Square footage is a measurement of the area of a room (or other type of space) expressed in feet square (ft 2 ). While each geometrical figure has a different formula for calculating its area, most rooms have an approximately rectangular shape. Therefore, if you can measure the width and length of the room, you can easily calculate the square footage by simply multiplying the two measurements.

The formula for the area of a rectangular room is width x length , as shown in the figure below:

This is the equation used in our square footage calculator as well. Note that if you measure the room in inches, the result will be in square inches. If you measure it in yards, it will be in square yards, and so on with metric units such as centimeters and meters (results in sq cm and sq m respectively). To get a result in square feet, make sure the input measurements are in square feet as well (you can remember it as "ft to sq ft").

A rectangle room is one of the simplest types of area shapes for which square footage can be calculated. A square room will be even simpler since the length is equal to the width. For example, the size of a 10 ft by 10 ft room (10x10 room) is 100 sq ft (10 2 ). Likewise, a 15x15 room is 225 sq ft (15 2 ), while a 20x20 room is 400 sq ft (20 2 ). However, perfectly square spaces are rarely encountered outside of classroom tasks.

    Square footage for a room with a complex shape

In the real world most rooms deviate from a rectangle to an extent. There might be nooks or crannies, as well as protrusions, which if small, can be overlooked for simplicity since rounding and other considerations taken into account in a construction or internal decoration project usually have fairly large tolerances. However, it is common for a room to consist of two (usually) differently sized rectangles as shown in the figure below:

If that is the case, then you need to take not two, but four measurements to figure out the square footage : the width and the height of the first rectangular section and then the width and the height of the second rectangular section of the room. The total area in square feet or another unit is just the sum of the areas of the two rectangles and you can calculate it easily using our tool.

If a room has a significantly irregular shape, then you would need to break it down into a series of rectangles, so that their square footage can be calculated approximately. The overall room square footage is then the sum of the smaller sections it was decomposed into. You can use this calculator to compute each room's size and our summation calculator to calculate their sum.

    From square footage to total price of a construction or decoration project

Now that we know how to calculate the square footage, we can turn to calculating the total price for a decoration or construction project. If you are laying down flooring, heating, tiling, gravel, mulch, etc. you might want to know how much it would cost you given the calculated footage. To arrive at the total cost, all you need to do is to know the price per square foot (or the square unit of your choice) and to then multiply it by the number of area units.

Say you have a complex-shaped room composed of a 10x10 area adjacent to a 12x24 area. The area of the first one is 100 ft 2 and the area of the second is 288 ft 2 , so the total square footage is 100 + 288 = 388 square feet. Say it costs $10 to cover one square foot in laminate flooring. To figure out the required cost for this room , multiply the calculated square footage by the cost per square foot: 388 x $10, to get the total cost which is $3,880 in this case. Such computations are handled by our calculator as well.

Cite this calculator & page

If you'd like to cite this online calculator resource and information as provided on the page, you can use the following citation: Georgiev G.Z., "Square Footage Calculator" , [online] Available at: https://www.gigacalculator.com/calculators/square-footage-calculator.php URL [Accessed Date: 01 Sep, 2024].

     Construction calculators

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Beginner Python Area of a room

Right now I am working on a program to calculate the area of a room in order to purchase cans of paint. I am just a three weeks into my class and I'm a little overwhelmed. I'm having trouble figuring out how I am supposed to attach each wall/ceiling/window/door to a separate name such as 'WALL1 WALL2' etc and then being able to call those to a calculation. As far as I have gotten I can't seem to figure out how to write this variable. I am by no means asking for the code to the whole program, so we will take a look at just walls as an example. "John wants to calculate how much paint he needs for a whole house and has 57 walls with various sizes of each wall." How do I allow an unlimited amount of walls to be used while attaching each wall to its Length and Height? Or should I limit the amount of walls? Once I establish how many of these walls there are how do I attach each wall to its own name? Each 'name' will then be called into the final calculation. Here is what I have so far:

I have provided my Flowchart here as reference so hopefully it makes better sense what I am trying to explain.

• Sounds like you're looking for a loop. I suggest having a look at your textbook. –  TigerhawkT3 Commented Jan 22, 2017 at 1:24
• And I strongly recommend you using class if you are allowed to. –  ᴀʀᴍᴀɴ Commented Jan 22, 2017 at 1:25
• 4 I don't know how you're expected to write Python without learning any Python. –  TigerhawkT3 Commented Jan 22, 2017 at 1:29
• 1 @Vincenzzzochi , because each area has some walls and windows and each of them have width and heights , I think class would be great here , but I am agree dictionary is good too , but the concept of class is more helpful –  ᴀʀᴍᴀɴ Commented Jan 22, 2017 at 1:45
• 1 Just out of curiousity, what class are you taking? We'd like to recommend people avoid the heck out of this class because it's terrible. –  Wayne Werner Commented Jan 23, 2017 at 11:31

3 Answers 3

You can use a list or a tuple to store your walls ceiling etc. then its a matter of running a For loop to do the calculation. You may also want to use a dictionary if you want to call the items by name.

You can create Wall1, Wall2 etc using a simple string addition and put that in the dictionary rather than creating variables for each element.

If you clarify how you gonna accept the user input for all 57 walls etc. we can answer more accurately.

• you say 'John wants to calculate how much paint he needs for a whole house and has 57 walls with various sizes of each wall'. So do you have to get all 57 walls sizes at once? or do you only need one wall at a time. Like lets say you let the user input the width, height and the type (wall, ceiling etc) then you output the calculated area and may be some type specific information? –  Kaveen Perera Commented Jan 22, 2017 at 1:57
• @Amerilys do you have any prior programming knowledge at all in any language? –  Kaveen Perera Commented Jan 22, 2017 at 2:03
• they would input the information for each wall one at a time. So it would ask how many walls do you have, so it knows a predetermined amount. Say it's six, it then prompts the user to input length and height for WALL1. Say I put in 13 length and 9 height. It should either do the calculation there and attached the result to WALL1 or hold the information to be calculated later. And I'm going with calculate now and hold the information to be called later. I'm taking an introductory class to HTML and CSS right now and I've messed around with some things prior but I've never learned. –  Amerilys Commented Jan 22, 2017 at 18:23

After our discussion in the comments, it appears that your real problem comes from not really understanding the relative difficulty of things yet . In large part that's because you don't really understand programming yet, you've just been making flowcharts in your class. There's a fair difference between flowcharts and programming, since with a flowchart you can just put something magic happens .

My first recommendation is to check out the Python style guide, called pep8 ). Most Python developers stick to this, and it will make your life easier when trying to communicate with us.

Next, you want to adjust your expectations. Trying to parse out a bunch of values from something like:

You can do it, but as a beginning developer it's a bit overwhelming. If you know regular expressions it's pretty trivial, but you don't, and they're not a beginning topic. Just remember the popular saying:

Developers see a problem and say, "Ah, I know, I'll use regular expressions!" Now they have two problems.

Most of the time they're the wrong thing, but occasionally they're the right thing. But as a beginner, they're not the right thing.

Instead, you should aim for something like this:

• get the project name
• ask the user for wall sizes. When they input an empty/blank string, that's the last wall size
• ask the user for ceiling sizes (though you could include this in the wall sizes, no need to have them different). When they input an empty/blank string there are no more ceilings.
• ask the user for the door sizes. Same thing about empty strings.
• ask the user for window sizes. The same thing applies for ceiling vs walls.
• combine the wall/ceiling sizes and subtract (door sizes + window sizes)

You can store the sizes in lists, e.g. walls = [[3, 4], [5, 9], [9, 9]] . Dealing with lists is something that you can learn in the Python tutorial, or many other tutorials on the Internet.

You can iterate (loop) over your lists and write that information to a file, if that's something that you want to do. Tutorials will also cover that.

If you take the above approach, you'll find that your project is much easier to complete. Good luck!

Have you considered using pandas data frames to store each instance of Wall, Window and Ceiling? Then you multiply your columns Width by Length and store it in the column Surface .

Then you can simply use the groupby function to get your totals and add up the results, or simply sum the Surface columns.

• 4 The user is just learning how to ride a bicycle, and you want to put a BMW M3 in front of him/her with pandas and the concept of dataframes? –  kingstante Commented Jan 22, 2017 at 1:45
• I come from R and use spreadsheet a lot, so I must admit I have a harder time not using them. Might be the accountant in me, but I get a better grasp on my data when they're in a matrix like object. –  Gelinator Commented Jan 22, 2017 at 1:51
• If you read the flowchart the OP posted it's clearly not what the exercise is after. –  Wayne Werner Commented Jan 22, 2017 at 2:19

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