Area And Perimeter Word Problems - Fill and Sign Printable ... - Free Printable

Let's solve each problem step by step from the Area and Perimeter Word Problems: Independent Practice Worksheet.

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1. Andy bought a computer. The length of the computer is 32 inches and the width is 14 inches. Find the area of the computer.

- Formula for area of a rectangle:
$$
\text{Area} = \text{length} \times \text{width}
$$
- Plug in the values:
$$
\text{Area} = 32 \times 14 = 448 \text{ square inches}
$$

✔ Answer: 448 square inches

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2. Toby has a suitcase. The suitcase’s length is 22 inches and the width is 18 inches. Find the area of it and label.

- Again, use the area formula:
$$
\text{Area} = 22 \times 18 = 396 \text{ square inches}
$$

✔ Answer: 396 in²

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3. Dani has cookies. The length of each cookie is 7 inches and the width is 5 in. Find the area of the cookie.

- Area of one cookie:
$$
\text{Area} = 7 \times 5 = 35 \text{ square inches}
$$

✔ Answer: 35 in²

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4. Ronnie wants to buy a computer table that measures 10 feet by 17 feet. The cost of the table is $15 per square foot. How much will it cost Ronnie to buy this computer table for his study room?

- First, find the area:
$$
\text{Area} = 10 \times 17 = 170 \text{ square feet}
$$
- Now multiply by cost per square foot:
$$
\text{Total Cost} = 170 \times 15 = 2550
$$

✔ Answer: $2,550

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5. Bradley T.V. screen is 15 feet by 20 feet. He wants to put new cover on the T.V. screen that costs $25 per square foot. How much will it cost Bradley to cover his T.V. screen?

- Area of TV screen:
$$
15 \times 20 = 300 \text{ square feet}
$$
- Total cost:
$$
300 \times 25 = 7500
$$

✔ Answer: $7,500

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6. Dave knows that the area of his square-shaped bag is 81 feet². What is the length of any side of the bag?

- For a square, area = side × side → $ s^2 $
- So:
$$
s^2 = 81 \Rightarrow s = \sqrt{81} = 9
$$

✔ Answer: 9 feet

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7. Robinson’s square-shaped air conditioner covers 144 feet² of area of his room. Find the length of any side of the air conditioner.

- Again, use $ s^2 = 144 $
- $ s = \sqrt{144} = 12 $

✔ Answer: 12 feet

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8. The area of Taylor’s square bedroom is 256 feet². What is the length of any side of his bedroom?

- $ s^2 = 256 \Rightarrow s = \sqrt{256} = 16 $

✔ Answer: 16 feet

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9. The measure of Kelly’s cell phone is 6 in by 8 in. He wants to put it in a phone case that cost $30 per square inch. How much will it cost Kelly to put his cell phone in a box?

- First, find the area:
$$
6 \times 8 = 48 \text{ square inches}
$$
- Cost:
$$
48 \times 30 = 1440
$$

✔ Answer: $1,440

> ⚠️ Note: This seems very expensive — likely a typo or exaggeration in the problem (maybe meant $0.30 per sq in?), but we follow the given numbers.

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10. The area of a square gate is 361 feet². What is the length of any side of the gate?

- $ s^2 = 361 \Rightarrow s = \sqrt{361} = 19 $

✔ Answer: 19 feet

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✔ Final Answers Summary:

| Problem | Answer |
|--------|--------|
| 1 | 448 in² |
| 2 | 396 in² |
| 3 | 35 in² |
| 4 | $2,550 |
| 5 | $7,500 |
| 6 | 9 ft |
| 7 | 12 ft |
| 8 | 16 ft |
| 9 | $1,440 |
| 10 | 19 ft |

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