Matching worksheet for calculating area and perimeter with real-world word problems.

Problem: Matching Worksheet for Area and Perimeter Word Problems

The task involves solving word problems related to area and perimeter, then matching the answers to the corresponding letters provided. Below is a detailed solution for each problem.

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#### 1. Yashwan wants to write a letter to his friend. He took out a square piece of paper which covers the total area of 225 feet². What is the length of any side of this paper?

- Given: The area of the square paper is \( 225 \, \text{feet}^2 \).
- Formula for the area of a square: \( \text{Area} = \text{side}^2 \).
- Solution:
\[
\text{side}^2 = 225
\]
\[
\text{side} = \sqrt{225} = 15 \, \text{feet}
\]
- Answer: The length of any side of the paper is \( 15 \, \text{feet} \).

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#### 2. William buys a new desk for his office which measures 12 feet by 9 feet. If he paid $108 for the desk that costs $1 per square foot. How much will it cost William to buy a desk cover?

- Given: The dimensions of the desk are \( 12 \, \text{feet} \times 9 \, \text{feet} \), and the cost is $1 per square foot.
- Formula for the area of a rectangle: \( \text{Area} = \text{length} \times \text{width} \).
- Calculate the area:
\[
\text{Area} = 12 \times 9 = 108 \, \text{feet}^2
\]
- Cost of the desk cover: Since the cost is $1 per square foot, the total cost is:
\[
\text{Cost} = 108 \times 1 = 108 \, \text{dollars}
\]
- Answer: The cost of the desk cover is \( 108 \, \text{dollars} \).

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#### 3. Daniel has a wood piece. This wood piece's length is 22 inches and its width is 15 inches. Find the area of the wood piece.

- Given: The dimensions of the wood piece are \( 22 \, \text{inches} \times 15 \, \text{inches} \).
- Formula for the area of a rectangle: \( \text{Area} = \text{length} \times \text{width} \).
- Calculate the area:
\[
\text{Area} = 22 \times 15 = 330 \, \text{square inches}
\]
- Answer: The area of the wood piece is \( 330 \, \text{square inches} \).

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#### 4. Alexander has a square-shaped basket of apples. The basket's area is 676 feet². Find the length of any side of the basket.

- Given: The area of the square basket is \( 676 \, \text{feet}^2 \).
- Formula for the area of a square: \( \text{Area} = \text{side}^2 \).
- Solution:
\[
\text{side}^2 = 676
\]
\[
\text{side} = \sqrt{676} = 26 \, \text{feet}
\]
- Answer: The length of any side of the basket is \( 26 \, \text{feet} \).

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#### 5. Ronald wants to paint his drawing room wall which measures 8 feet by 11 feet. The cost of the paint is $14 per square foot. How much will it cost Ronald to paint the wall?

- Given: The dimensions of the wall are \( 8 \, \text{feet} \times 11 \, \text{feet} \), and the cost is $14 per square foot.
- Formula for the area of a rectangle: \( \text{Area} = \text{length} \times \text{width} \).
- Calculate the area:
\[
\text{Area} = 8 \times 11 = 88 \, \text{feet}^2
\]
- Cost of painting the wall: Since the cost is $14 per square foot, the total cost is:
\[
\text{Cost} = 88 \times 14 = 1232 \, \text{dollars}
\]
- Answer: The cost to paint the wall is \( 1232 \, \text{dollars} \).

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#### 6. Samantha has a rectangular garden plot whose length is 13 meters and the width is 15 meters. Find the area of a rectangular planter.

- Given: The dimensions of the garden plot are \( 13 \, \text{meters} \times 15 \, \text{meters} \).
- Formula for the area of a rectangle: \( \text{Area} = \text{length} \times \text{width} \).
- Calculate the area:
\[
\text{Area} = 13 \times 15 = 195 \, \text{square meters}
\]
- Answer: The area of the rectangular planter is \( 195 \, \text{square meters} \).

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#### 7. Mary wants to cover a rectangular wooden box that measures 18 inches by 15 inches with wrapping paper. The cost of the sheet is $30 for 33 square feet. How much will it cost Mary to cover the wooden box?

- Given: The dimensions of the box are \( 18 \, \text{inches} \times 15 \, \text{inches} \), and the cost of wrapping paper is $30 for 33 square feet.
- Step 1: Calculate the area of the box in square inches.
\[
\text{Area} = 18 \times 15 = 270 \, \text{square inches}
\]
- Step 2: Convert the area from square inches to square feet. There are 144 square inches in 1 square foot.
\[
\text{Area in square feet} = \frac{270}{144} = 1.875 \, \text{square feet}
\]
- Step 3: Calculate the cost of the wrapping paper. The cost is $30 for 33 square feet, so the cost per square foot is:
\[
\text{Cost per square foot} = \frac{30}{33} \approx 0.909 \, \text{dollars per square foot}
\]
- Step 4: Calculate the total cost for 1.875 square feet.
\[
\text{Total cost} = 1.875 \times 0.909 \approx 1.70 \, \text{dollars}
\]
- Answer: The cost to cover the wooden box is approximately \( 1.70 \, \text{dollars} \).

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#### 8. The length and width of Nicole’s laptop are 14 inches and 13 inches, respectively. Find the area covered by the laptop.

- Given: The dimensions of the laptop are \( 14 \, \text{inches} \times 13 \, \text{inches} \).
- Formula for the area of a rectangle: \( \text{Area} = \text{length} \times \text{width} \).
- Calculate the area:
\[
\text{Area} = 14 \times 13 = 182 \, \text{square inches}
\]
- Answer: The area covered by the laptop is \( 182 \, \text{square inches} \).

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Final Answers:

1. \( 15 \) (c)
2. \( 108 \) (b)
3. \( 330 \) (f)
4. \( 26 \) (d)
5. \( 1232 \) (g)
6. \( 195 \) (e)
7. \( 1.70 \) (h)
8. \( 182 \) (a)

Matched Letters:

\[
\boxed{c, b, f, d, g, e, h, a}
\]