Explanation:
We are given six shapes (rectangles and squares), and for each, we need to find the
perimeter (P) and
area (A) using:
- Perimeter = 2L + 2W
- Area = L × W
Let’s go one by one.
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1. Rectangle: 7 mi by 9 mi
Length (L) = 9 mi, Width (W) = 7 mi
Perimeter = 2×9 + 2×7 = 18 + 14 =
32 mi
Area = 9 × 7 =
63 mi²
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2. Square: 6 km by 6 km
Since it's a square, L = W = 6 km
Perimeter = 2×6 + 2×6 = 12 + 12 =
24 km
Area = 6 × 6 =
36 km²
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3. Rectangle: 8 ft by 9 ft
L = 9 ft, W = 8 ft
Perimeter = 2×9 + 2×8 = 18 + 16 =
34 ft
Area = 9 × 8 =
72 ft²
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4. Rectangle: 4 km by 1 km
L = 4 km, W = 1 km
Perimeter = 2×4 + 2×1 = 8 + 2 =
10 km
Area = 4 × 1 =
4 km²
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5. Rectangle: 2 m by 8 m
L = 8 m, W = 2 m
Perimeter = 2×8 + 2×2 = 16 + 4 =
20 m
Area = 8 × 2 =
16 m²
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6. Rectangle: 7 m by 5 m
L = 7 m, W = 5 m
Perimeter = 2×7 + 2×5 = 14 + 10 =
24 m
Area = 7 × 5 =
35 m²
Let me double-check all calculations:
1. P = 2(9+7)=32 ✔️, A=63 ✔️
2. P = 4×6=24 ✔️, A=36 ✔️
3. P = 2(9+8)=34 ✔️, A=72 ✔️
4. P = 2(4+1)=10 ✔️, A=4 ✔️
5. P = 2(8+2)=20 ✔️, A=16 ✔️
6. P = 2(7+5)=24 ✔️, A=35 ✔️
All correct.
Final Answer:
1. P = 32 mi, A = 63 mi²
2. P = 24 km, A = 36 km²
3. P = 34 ft, A = 72 ft²
4. P = 10 km, A = 4 km²
5. P = 20 m, A = 16 m²
6. P = 24 m, A = 35 m²
Parent Tip: Review the logic above to help your child master the concept of area and perimeter of a rectangle worksheet.
