Explanation:
We are given six rectangles. For each, we need to find:
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Area = length × width
-
Perimeter = 2 × (length + width)
Units must match — if both sides are in cm, area is cm² and perimeter is cm. Same for m or ft.
Let’s go one by one:
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1) Dimensions: 5 cm and 1½ cm
1½ cm = 1.5 cm
Area = 5 × 1.5 =
7.5 cm²
Perimeter = 2 × (5 + 1.5) = 2 × 6.5 =
13 cm
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2) Dimensions: 6¼ m and 3 m
6¼ = 6.25 m
Area = 6.25 × 3 =
18.75 m²
Perimeter = 2 × (6.25 + 3) = 2 × 9.25 =
18.5 m
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3) Dimensions: 2½ ft and 5 ft
2½ = 2.5 ft
Area = 2.5 × 5 =
12.5 ft²
Perimeter = 2 × (2.5 + 5) = 2 × 7.5 =
15 ft
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4) Dimensions: 7 cm and 20 cm
Area = 7 × 20 =
140 cm²
Perimeter = 2 × (7 + 20) = 2 × 27 =
54 cm
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5) Dimensions: 8 cm and 3¼ cm
3¼ = 3.25 cm
Area = 8 × 3.25 =
26 cm²
Perimeter = 2 × (8 + 3.25) = 2 × 11.25 =
22.5 cm
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6) Dimensions: 30 m and 20 m
Area = 30 × 20 =
600 m²
Perimeter = 2 × (30 + 20) = 2 × 50 =
100 m
Double-check all calculations:
1) 5×1.5=7.5 ✔️; 2×6.5=13 ✔️
2) 6.25×3=18.75 ✔️; 2×9.25=18.5 ✔️
3) 2.5×5=12.5 ✔️; 2×7.5=15 ✔️
4) 7×20=140 ✔️; 2×27=54 ✔️
5) 8×3.25=26 ✔️; 2×11.25=22.5 ✔️
6) 30×20=600 ✔️; 2×50=100 ✔️
All correct.
Final Answer:
1) Area = 7.5 cm², Perimeter = 13 cm
2) Area = 18.75 m², Perimeter = 18.5 m
3) Area = 12.5 ft², Perimeter = 15 ft
4) Area = 140 cm², Perimeter = 54 cm
5) Area = 26 cm², Perimeter = 22.5 cm
6) Area = 600 m², Perimeter = 100 m
Parent Tip: Review the logic above to help your child master the concept of 6th grade area and perimeter worksheet.
