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The two parallel side of trapezium are in the ratio of 4 : 7 The height and the area of the trapezium is 20 cm and 330 cm2 respectively By how much % the larger parallel line is greater than compared to smaller parallel line?1). 50%2). 65%3). 75%4). 90% |
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Answer» ⇒ Height of the trapezium (h) = 20 cm ⇒ Area of the trapezium (A) = 330 cm2 ⇒ Ratio of the parallel side = 4 : 7 = 4x & 7x ⇒ Area of trapezium (A) = 1/2 (sum of parallel side) × height ⇒ 330 = 1/2(4x + 7x) × 20 ⇒ 330 × 2 = 11x × 20 ⇒ 660/20 = 11x ⇒ 33/11 = x ⇒ x = 3 ⇒ Shorter side = 4x = 4 × 3 = 12 cm ⇒ LONGER side = 7x = 7 × 3 = 21 cm ⇒ Difference = 21 – 12 = 9 cm ∴ required % = 9/12 × 100 = 75% |
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