Let's solve each problem from the
"Area and Perimeter Word Problems - Independent Practice Worksheet" step by step.
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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.
Solution:
- Area of a rectangle = length × width
- Area = 32 in × 14 in =
448 square inches
✔ Answer: 448 in²
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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.
Solution:
- Area = length × width
- Area = 22 in × 18 in =
396 square inches
✔ Answer: 396 in²
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3. Dad has cookies. The length of each cookie is 7 cm and the width is 5 cm. Find the area of the cookie.
Solution:
- Area = length × width
- Area = 7 cm × 5 cm =
35 square centimeters
✔ Answer: 35 cm²
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4. Ronnie wants to buy a computer table that measures 12 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?
Step 1: Find the area
- Area = 12 ft × 17 ft =
204 square feet
Step 2: Multiply by cost per square foot
- Total cost = 204 ft² × $15/ft² =
$3,060
✔ Answer: $3,060
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5. Bradley’s 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?
Step 1: Area = 15 ft × 20 ft =
300 square feet
Step 2: Cost = 300 ft² × $25/ft² =
$7,500
✔ 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?
Solution:
- Area of a square = side²
- So, side = √(area) = √81 =
9 feet
✔ 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.
- Side = √144 =
12 feet
✔ 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 wall in his bedroom?
- Side = √256 =
16 feet
✔ 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 $20 per square inch. How much will it cost Kelly to put his cell phone in a box?
Step 1: Area = 6 in × 8 in =
48 square inches
Step 2: Cost = 48 in² × $20/in² =
$960
✔ Answer: $960
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10. The area of a square gate is 361 feet². What is the length of any side of the gate?
- Side = √361 =
19 feet
✔ Answer: 19 feet
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✔ Final Answers Summary:
| Problem | Answer |
|--------|--------|
| 1 | 448 in² |
| 2 | 396 in² |
| 3 | 35 cm² |
| 4 | $3,060 |
| 5 | $7,500 |
| 6 | 9 feet |
| 7 | 12 feet |
| 8 | 16 feet |
| 9 | $960 |
| 10 | 19 feet |
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Parent Tip: Review the logic above to help your child master the concept of area and perimeter word problems worksheet.