To find the area and perimeter of a square, we use these two simple rules:
1.
Area: Multiply the side length by itself ($\text{side} \times \text{side}$).
2.
Perimeter: Add all four sides together, or multiply the side length by 4 ($\text{side} \times 4$).
Here are the step-by-step solutions for each problem:
1) Side = 50 mm
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Area: $50 \times 50 = 2,500$ sq mm
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Perimeter: $50 \times 4 = 200$ mm
2) Side = 17 ft
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Area: $17 \times 17 = 289$ sq ft
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Perimeter: $17 \times 4 = 68$ ft
3) Side = 31 m
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Area: $31 \times 31 = 961$ sq m
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Perimeter: $31 \times 4 = 124$ m
4) Side = 36 yd
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Area: $36 \times 36 = 1,296$ sq yd
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Perimeter: $36 \times 4 = 144$ yd
5) Side = 13 in
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Area: $13 \times 13 = 169$ sq in
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Perimeter: $13 \times 4 = 52$ in
6) Side = 40 cm
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Area: $40 \times 40 = 1,600$ sq cm
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Perimeter: $40 \times 4 = 160$ cm
7) Side = 22 ft
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Area: $22 \times 22 = 484$ sq ft
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Perimeter: $22 \times 4 = 88$ ft
8) Side = 27 m
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Area: $27 \times 27 = 729$ sq m
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Perimeter: $27 \times 4 = 108$ m
9) Side = 34 in
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Area: $34 \times 34 = 1,156$ sq in
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Perimeter: $34 \times 4 = 136$ in
Final Answer:
1) Area: 2,500 sq mm, Perimeter: 200 mm
2) Area: 289 sq ft, Perimeter: 68 ft
3) Area: 961 sq m, Perimeter: 124 m
4) Area: 1,296 sq yd, Perimeter: 144 yd
5) Area: 169 sq in, Perimeter: 52 in
6) Area: 1,600 sq cm, Perimeter: 160 cm
7) Area: 484 sq ft, Perimeter: 88 ft
8) Area: 729 sq m, Perimeter: 108 m
9) Area: 1,156 sq in, Perimeter: 136 in
Parent Tip: Review the logic above to help your child master the concept of area of a square worksheet.
