Let’s solve each problem one by one. We’ll use the formulas for perimeter and area of rectangles:
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Perimeter = 2 × (length + width)
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Area = length × width
We’ll also remember to include units in our answers — like feet, inches, cm, miles, etc.
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Problem 1:
A rug had a length of 9 feet and a width of 3 feet. What is the perimeter?
→ Perimeter = 2 × (9 + 3) = 2 × 12 =
24 ft
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Problem 2:
Plywood: length 6 ft, width 2 ft. Area?
→ Area = 6 × 2 =
12 ft²
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Problem 3:
Paper: 9 inches long, 4 inches wide. Perimeter?
→ Perimeter = 2 × (9 + 4) = 2 × 13 =
26 in
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Problem 4:
Fabric: width = 6 cm, area = 30 cm². Find length.
→ Area = length × width → 30 = length × 6 → length = 30 ÷ 6 =
5 cm
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Problem 5:
Paper: length = 9 in, area = 63 in². Find width.
→ Area = length × width → 63 = 9 × width → width = 63 ÷ 9 =
7 in
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Problem 6:
Woods: 6 miles wide, 10 miles long. Area?
→ Area = 6 × 10 =
60 mi²
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Problem 7:
Fabric: 7 cm wide, 6 cm long. Area?
→ Area = 7 × 6 =
42 cm²
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Problem 8:
Island: 4 miles wide, 10 miles long. Perimeter?
→ Perimeter = 2 × (4 + 10) = 2 × 14 =
28 mi
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Problem 9:
Woods: 5 miles wide, 6 miles long. Perimeter?
→ Perimeter = 2 × (5 + 6) = 2 × 11 =
22 mi
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Problem 10:
Bathroom: length = 2 ft, area = 6 ft². Find width.
→ Area = length × width → 6 = 2 × width → width = 6 ÷ 2 =
3 ft
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Final Answer:
1. 24 ft
2. 12 ft²
3. 26 in
4. 5 cm
5. 7 in
6. 60 mi²
7. 42 cm²
8. 28 mi
9. 22 mi
10. 3 ft
Parent Tip: Review the logic above to help your child master the concept of perimeter and area worksheet 1 answers.
