Worksheet for solving word problems involving the area of a rectangle.

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Problem 1:

> Maria is planning to paint a wall in her bedroom that measures 10 feet by 8 feet. What is the area of the wall she will be painting?

Step-by-step solution:

- The wall is a rectangle.
- Area of a rectangle = length × width
- Length = 10 feet, Width = 8 feet
- Area = 10 ft × 8 ft = 80 square feet

✔ Answer: 80 square feet

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Problem 2:

> Tom wants to put in a new carpet in his basement. If the room is 12 meters by 24 meters, what is the area of the carpet he will need to cover the floor?

Step-by-step solution:

- Room dimensions: 12 m × 24 m
- Area = length × width
- Area = 12 m × 24 m = 288 square meters

✔ Answer: 288 square meters

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Problem 3:

> Anna has a flower garden in her yard that measures 3 feet by 10 feet. A bag of soil covers 1 square foot. How many bags of soil does she need to cover the whole garden?

Step-by-step solution:

- Garden area = 3 ft × 10 ft = 30 square feet
- Each bag covers 1 square foot
- So, number of bags needed = 30 ÷ 1 = 30 bags

✔ Answer: 30 bags

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Problem 4:

> The floor plan of Frank’s house is 80 inches long and has an area of 1980 square inches. What is the width of the floor?

Step-by-step solution:

- We know:
- Area = length × width
- Area = 1980 in²
- Length = 80 inches
- Let width = w
- So:
1980 = 80 × w
w = 1980 ÷ 80
w = 24.75 inches

✔ Answer: 24.75 inches (or 24¾ inches)

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Bonus Problem (if included):

> A rug has an area of 24 square feet. The rug is 3 feet wide. What is its length?

Step-by-step solution:

- Area = length × width
- 24 = length × 3
- Length = 24 ÷ 3 = 8 feet

✔ Answer: 8 feet

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✔ Final Answers:

1. 80 square feet
2. 288 square meters
3. 30 bags
4. 24.75 inches
*(Bonus: 8 feet)*

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Let me know if you'd like these problems explained with diagrams or visual representations!