Area questions ask how much surface a shape covers, or what it costs to cover or fence it.
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Q1. The diagonal of a square is 34 m. Find the area of the square.
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Answer: B
Let diagonal = D = 34 m. Area of a square in terms of its diagonal is D^2/2. So area = 34^2/2 = 1156/2 = 578 sq m.
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Q2. The diagonal of a square is 78 m. Find the area of the square.
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Answer: D
Let diagonal = D = 78 m. Area of a square in terms of its diagonal is D^2/2. So area = 78^2/2 = 6084/2 = 3042 sq m.
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Q3. The diagonal of a square is 20 m. Find the area of the square.
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Answer: D
Let diagonal = D = 20 m. Area of a square in terms of its diagonal is D^2/2. So area = 20^2/2 = 400/2 = 200 sq m.
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Q4. The diagonal of a square is 50 m. Find the area of the square.
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Answer: B
Let diagonal = D = 50 m. Area of a square in terms of its diagonal is D^2/2. So area = 50^2/2 = 2500/2 = 1250 sq m.
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Q5. The diagonal of a square is 54 m. Find the area of the square.
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Answer: A
Let diagonal = D = 54 m. Area of a square in terms of its diagonal is D^2/2. So area = 54^2/2 = 2916/2 = 1458 sq m.
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Q6. The diagonal of a square is 80 m. Find the area of the square.
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Answer: C
Let diagonal = D = 80 m. Area of a square in terms of its diagonal is D^2/2. So area = 80^2/2 = 6400/2 = 3200 sq m.
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Q7. The diagonal of a square is 58 m. Find the area of the square.
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Answer: D
Let diagonal = D = 58 m. Area of a square in terms of its diagonal is D^2/2. So area = 58^2/2 = 3364/2 = 1682 sq m.
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Q8. The diagonal of a square is 16 m. Find the area of the square.
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Answer: A
Let diagonal = D = 16 m. Area of a square in terms of its diagonal is D^2/2. So area = 16^2/2 = 256/2 = 128 sq m.
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Q9. The area of a square field is 2116 sq m. Find the length of its side.
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Answer: C
Let area = A = 2116 sq m. Side of a square = sqrt(A). So side = sqrt(2116) = 46 m. Check: 46 x 46 = 2116 sq m, which matches A.
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Q10. The area of a square field is 3364 sq m. Find the length of its side.
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Answer: B
Let area = A = 3364 sq m. Side of a square = sqrt(A). So side = sqrt(3364) = 58 m. Check: 58 x 58 = 3364 sq m, which matches A.
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Q11. The area of a square field is 3249 sq m. Find the length of its side.
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Answer: A
Let area = A = 3249 sq m. Side of a square = sqrt(A). So side = sqrt(3249) = 57 m. Check: 57 x 57 = 3249 sq m, which matches A.
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Q12. The area of a square field is 196 sq m. Find the length of its side.
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Answer: B
Let area = A = 196 sq m. Side of a square = sqrt(A). So side = sqrt(196) = 14 m. Check: 14 x 14 = 196 sq m, which matches A.
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Q13. The area of a square field is 3025 sq m. Find the length of its side.
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Answer: D
Let area = A = 3025 sq m. Side of a square = sqrt(A). So side = sqrt(3025) = 55 m. Check: 55 x 55 = 3025 sq m, which matches A.
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Q14. The area of a square field is 2704 sq m. Find the length of its side.
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Answer: C
Let area = A = 2704 sq m. Side of a square = sqrt(A). So side = sqrt(2704) = 52 m. Check: 52 x 52 = 2704 sq m, which matches A.
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Q15. The area of a square field is 2916 sq m. Find the length of its side.
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Answer: D
Let area = A = 2916 sq m. Side of a square = sqrt(A). So side = sqrt(2916) = 54 m. Check: 54 x 54 = 2916 sq m, which matches A.
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Q16. The area of a square field is 1089 sq m. Find the length of its side.
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Answer: B
Let area = A = 1089 sq m. Side of a square = sqrt(A). So side = sqrt(1089) = 33 m. Check: 33 x 33 = 1089 sq m, which matches A.
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Q17. The area of a square field is 729 sq m. Find the length of its side.
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Answer: C
Let area = A = 729 sq m. Side of a square = sqrt(A). So side = sqrt(729) = 27 m. Check: 27 x 27 = 729 sq m, which matches A.
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Q18. The area of a square field is 576 sq m. Find the length of its side.
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Answer: A
Let area = A = 576 sq m. Side of a square = sqrt(A). So side = sqrt(576) = 24 m. Check: 24 x 24 = 576 sq m, which matches A.
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Q19. Find the area of a square whose side is 51 m.
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Answer: D
Let side = S = 51 m. Area of a square = S^2. So area = 51^2 = 51 x 51 = 2601 sq m.
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Q20. Find the area of a square whose side is 42 m.
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Answer: C
Let side = S = 42 m. Area of a square = S^2. So area = 42^2 = 42 x 42 = 1764 sq m.
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Q21. Find the area of a square whose side is 60 m.
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Answer: B
Let side = S = 60 m. Area of a square = S^2. So area = 60^2 = 60 x 60 = 3600 sq m.
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Q22. Find the area of a square whose side is 54 m.
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Answer: A
Let side = S = 54 m. Area of a square = S^2. So area = 54^2 = 54 x 54 = 2916 sq m.
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Q23. Find the area of a square whose side is 27 m.
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Answer: D
Let side = S = 27 m. Area of a square = S^2. So area = 27^2 = 27 x 27 = 729 sq m.
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Q24. Find the area of a square whose side is 16 m.
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Answer: A
Let side = S = 16 m. Area of a square = S^2. So area = 16^2 = 16 x 16 = 256 sq m.
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Q25. Find the area of a square whose side is 45 m.
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Answer: C
Let side = S = 45 m. Area of a square = S^2. So area = 45^2 = 45 x 45 = 2025 sq m.
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