# Area Perimeter Word Problems Worksheet

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Free Online Worksheet to help students practice how to solve word problems that involve the area and perimeter of rectangles.

Objective:

• I know how to solve word problems that involve the area and perimeter of rectangles.

How to find the area of a rectangle?
The area of a rectangle is the amount of space it covers. It can be calculated by multiplying its length and width.
If the length of the rectangle is denoted by “l” and the width by “w”, then the formula for the area (A) is:
A = l x w
Therefore, to find the area of a rectangle, we need to know its length and width and then apply the above formula to calculate it.

How to find the perimeter of a rectangle?
The perimeter of a rectangle can be calculated by adding the lengths of all four sides of the rectangle.
If the length of the rectangle is denoted by “l” and the width by “w”, then the formula for the perimeter (P) is:
P = 2l + 2w
Alternatively, we can also express this as:
P = 2(l + w)
Therefore, to find the perimeter of a rectangle, we need to know its length and width and then apply the above formula to calculate it.

Have a look at these video if you need to review how to calculate the area and perimeter of rectangles.

Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. Note that you will lose points if you ask for hints or if you make a mistake.
1. The projection screen in the school auditorium is 5 times as long and 5 times as wide as the screen in the library. The screen in the library is 4 feet long with a perimeter of 14 feet. What is the perimeter of the
screen in the auditorium?
feet

2. The width of David’s tent is 5 feet. The length is twice the width. David’s rectangular air mattress measures 3 feet by 6 feet. If David puts the air mattress in the tent, how many square feet of floor space
will be available for the rest of his things?
square feet

3. Jackson’s bedroom has an area of 90 square feet. If the bedroom is 9 feet wide, what is its length?
feet

4. The width of a rectangular deck 5 feet and its length is 4 times its width. What is the deck’s area?
square feet

5. A poster is 3 times as long as it is wide. If the width of the poster is 2 feet, what is the perimeter of the poster?
feet

6. Katie cut out a piece of wrapping paper that was 2 times as long and 3 times as wide as the box that she was wrapping. The box was 5 inches long and 4 inches wide. What is the perimeter of the wrapping paper that Katie cut?
inches

7. Alexis has a piece of red paper that is 4 centimeters wide. Its length is twice its width. She glues a piece of blue paper on top of the red piece measuring 3 centimeters by 7 centimeters. How many square
centimeters of red paper will be visible on top?
square centimeters

8. Brinn’s pantry has an area of 20 square feet. If the pantry is 4 feet wide, what is the length of the pantry?
feet

9. The length of Marshall’s poster is 2 times its width. If the width is 5 inches, what is the area of the poster?
50 square inches

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