Area questions ask how much surface a shape covers, or what it costs to cover or fence it.
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Q1. Find the area of a trapezium whose parallel sides are 30 cm and 31 cm, and whose height is 34 cm.
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Answer: C
Let the parallel sides be a = 30 cm and b = 31 cm, and height = h = 34 cm. Area of a trapezium = (1/2) x (a + b) x h. a + b = 30 + 31 = 61. Area = (1/2) x 61 x 34 = 1037 sq cm.
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Q2. The diagonals of a rhombus are 30 cm and 10 cm. Find its area.
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Answer: B
Let the diagonals be d1 = 30 cm and d2 = 10 cm. Area of a rhombus = (1/2) x d1 x d2. d1 x d2 = 30 x 10 = 300. Area = (1/2) x 300 = 150 sq cm.
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Q3. The diagonals of a rhombus are 38 cm and 18 cm. Find its area.
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Answer: D
Let the diagonals be d1 = 38 cm and d2 = 18 cm. Area of a rhombus = (1/2) x d1 x d2. d1 x d2 = 38 x 18 = 684. Area = (1/2) x 684 = 342 sq cm.
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Q4. The diagonals of a rhombus are 80 cm and 46 cm. Find its area.
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Answer: C
Let the diagonals be d1 = 80 cm and d2 = 46 cm. Area of a rhombus = (1/2) x d1 x d2. d1 x d2 = 80 x 46 = 3680. Area = (1/2) x 3680 = 1840 sq cm.
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Q5. The diagonals of a rhombus are 42 cm and 68 cm. Find its area.
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Answer: A
Let the diagonals be d1 = 42 cm and d2 = 68 cm. Area of a rhombus = (1/2) x d1 x d2. d1 x d2 = 42 x 68 = 2856. Area = (1/2) x 2856 = 1428 sq cm.
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Q6. The diagonals of a rhombus are 28 cm and 10 cm. Find its area.
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Answer: C
Let the diagonals be d1 = 28 cm and d2 = 10 cm. Area of a rhombus = (1/2) x d1 x d2. d1 x d2 = 28 x 10 = 280. Area = (1/2) x 280 = 140 sq cm.
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Q7. The diagonals of a rhombus are 74 cm and 8 cm. Find its area.
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Answer: A
Let the diagonals be d1 = 74 cm and d2 = 8 cm. Area of a rhombus = (1/2) x d1 x d2. d1 x d2 = 74 x 8 = 592. Area = (1/2) x 592 = 296 sq cm.
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Q8. The diagonals of a rhombus are 16 cm and 62 cm. Find its area.
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Answer: B
Let the diagonals be d1 = 16 cm and d2 = 62 cm. Area of a rhombus = (1/2) x d1 x d2. d1 x d2 = 16 x 62 = 992. Area = (1/2) x 992 = 496 sq cm.
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Q9. The diagonals of a rhombus are 34 cm and 50 cm. Find its area.
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Answer: D
Let the diagonals be d1 = 34 cm and d2 = 50 cm. Area of a rhombus = (1/2) x d1 x d2. d1 x d2 = 34 x 50 = 1700. Area = (1/2) x 1700 = 850 sq cm.
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Q10. The diagonals of a rhombus are 52 cm and 14 cm. Find its area.
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Answer: A
Let the diagonals be d1 = 52 cm and d2 = 14 cm. Area of a rhombus = (1/2) x d1 x d2. d1 x d2 = 52 x 14 = 728. Area = (1/2) x 728 = 364 sq cm.
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Q11. The diagonals of a rhombus are 54 cm and 8 cm. Find its area.
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Answer: C
Let the diagonals be d1 = 54 cm and d2 = 8 cm. Area of a rhombus = (1/2) x d1 x d2. d1 x d2 = 54 x 8 = 432. Area = (1/2) x 432 = 216 sq cm.
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Q12. Find the area of a parallelogram with base 8 cm and height 20 cm.
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Answer: B
Let base = b = 8 cm and height = h = 20 cm. Area of a parallelogram = b x h. So area = 8 x 20 = 160 sq cm.
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Q13. Find the area of a parallelogram with base 19 cm and height 29 cm.
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Answer: D
Let base = b = 19 cm and height = h = 29 cm. Area of a parallelogram = b x h. So area = 19 x 29 = 551 sq cm.
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Q14. Find the area of a parallelogram with base 11 cm and height 27 cm.
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Answer: A
Let base = b = 11 cm and height = h = 27 cm. Area of a parallelogram = b x h. So area = 11 x 27 = 297 sq cm.
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Q15. Find the area of a parallelogram with base 47 cm and height 11 cm.
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Answer: C
Let base = b = 47 cm and height = h = 11 cm. Area of a parallelogram = b x h. So area = 47 x 11 = 517 sq cm.
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Q16. Find the area of a parallelogram with base 32 cm and height 38 cm.
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Answer: D
Let base = b = 32 cm and height = h = 38 cm. Area of a parallelogram = b x h. So area = 32 x 38 = 1216 sq cm.
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Q17. Find the area of a parallelogram with base 40 cm and height 33 cm.
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Answer: B
Let base = b = 40 cm and height = h = 33 cm. Area of a parallelogram = b x h. So area = 40 x 33 = 1320 sq cm.
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Q18. Find the area of a parallelogram with base 19 cm and height 33 cm.
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Answer: B
Let base = b = 19 cm and height = h = 33 cm. Area of a parallelogram = b x h. So area = 19 x 33 = 627 sq cm.
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Q19. Find the area of a parallelogram with base 37 cm and height 17 cm.
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Answer: C
Let base = b = 37 cm and height = h = 17 cm. Area of a parallelogram = b x h. So area = 37 x 17 = 629 sq cm.
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Q20. Find the area of a parallelogram with base 27 cm and height 20 cm.
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Answer: D
Let base = b = 27 cm and height = h = 20 cm. Area of a parallelogram = b x h. So area = 27 x 20 = 540 sq cm.
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Q21. Find the area of a parallelogram with base 39 cm and height 14 cm.
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Answer: A
Let base = b = 39 cm and height = h = 14 cm. Area of a parallelogram = b x h. So area = 39 x 14 = 546 sq cm.
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Q22. Find the area of an equilateral triangle with side 18 cm.
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Answer: B
Let side = a = 18 cm. Area of an equilateral triangle = (sqrt(3)/4) x a^2. a^2 = 18^2 = 324. So area = (sqrt(3)/4) x 324 = 81√3 sq cm.
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Q23. Find the area of an equilateral triangle with side 20 cm.
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Answer: C
Let side = a = 20 cm. Area of an equilateral triangle = (sqrt(3)/4) x a^2. a^2 = 20^2 = 400. So area = (sqrt(3)/4) x 400 = 100√3 sq cm.
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Q24. Find the area of an equilateral triangle with side 34 cm.
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Answer: D
Let side = a = 34 cm. Area of an equilateral triangle = (sqrt(3)/4) x a^2. a^2 = 34^2 = 1156. So area = (sqrt(3)/4) x 1156 = 289√3 sq cm.
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Q25. Find the area of an equilateral triangle with side 26 cm.
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Answer: A
Let side = a = 26 cm. Area of an equilateral triangle = (sqrt(3)/4) x a^2. a^2 = 26^2 = 676. So area = (sqrt(3)/4) x 676 = 169√3 sq cm.
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