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The area of a trapezium is 384 cm2. Its parallel sides are in the ratio 3 : 5 and the perpendicular distance between them is 12 cm. Find the length of each one of the parallel sides. |
Answer» Let the length of one parallel side of trapezium = 3x meter Length of other parallel side of trapezium = 5x meter Area of trapezium = 384 cm2 Distance between parallel sides = 12 cm Area of trapezium = \(\frac{1}{2}\)(sum of sides) x distance between parallel sides 384 = \(\frac{1}{2}\)(3x + 5x) x 12 4x = \(\frac{384}{12}\) 4x = 32 x = \(\frac{32}{4}\) = 8 Therefore length of one parallel side of trapezium = 3x = 3× 8 = 24 cm Length of other parallel side of trapezium = 5x = 5× 8 = 40 cm |
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