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Consider the area of the following solids:

(A) A rhombus whose diagonals are 48 cm and 20 cm long.

(B) A trapezium with parallel sides 9.7 cm and 6.3 cm, and the distance between them is 6.5 cm.

(C) A parallelogram with a base equal to 25 cm and the corresponding height measuring 16.8 cm.

(D) A rhombus, whose diagonals are 30 cm and 16 cm.

Arrange the above in ascending order.

Choose the correct answer from the options given below:

Solution

✅ Correct Option: 3

(A) 12×48×20=480\frac12\times48\times20=480. (B) 12(9.7+6.3)×6.5=52\frac12(9.7+6.3)\times6.5=52. (C) 25×16.8=42025\times16.8=420. (D) 12×30×16=240\frac12\times30\times16=240. Ascending order: 52, 240, 420, 480, that is (B), (D), (C), (A).

Note: The prompt says 'solids', but all four are plane figures; we have compared their areas.

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