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The length of the parallel sides of a trapezium are in the ratio 3:5 and the distance between them is 10cm. If the area of trapezium is 120cm2? Please send an picture or give an explanation not the answer directly. |
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Answer» io of length of the PARALLEL sides of a TRAPEZIUM is 3:5. The DISTANCE between them is 10cm. The area of trapezium is 120cm².The length of the parallel sides of a trapezium .Let the parallel sides of a trapezium be in form of x.So, 3x & 5xWe have,The area of trapezium is 120cm².We know,Area of trapezium = ½ × (sum of || sides ) × hSo we get,➝ Area of trapezium = ½ × (3x + 5x) × 10➝ 120 = ½ × 8x × 10➝ 120 = 5 × 8x➝ 8x = 24➝ x = 24 / 8➝ x = 3Therefore, parallel sides are :-3x = 3 × 3 = 9 cm5x = 5 × 3 = 15 cm______________________________________ |
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