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ICSE-VIII-Mathematics

20: Area of Trapezium and a Polygon Class 8 Maths

with Solutions - page 4
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  • #2
    The parallel sides of a trapezium are in the ratio 3: 4. If the distance between the parallel sides is 9 dm and its area is 126 dm2 ; find the lengths of its parallel sides.
    Ans :
    Let parallel sides of trapezium bea = 3x
    b = 4x
    Distance between parallel sides, h = 9 dm
    area of trapezium = 126 dm2
    ½ (a + b) × h = 126
    ⇒ ½ (3x + 4x) × 9 = 126
    ⇒ 7x × 9 = 126 × 2
    ⇒ x = (126 × 2)/(7 × 9)
    ⇒ x = 4
    a = 3x = 3 × 4 = 12 dm
    b = 4x = 4 × 4 = 12 dm
    12 dm, 16 dm