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The area of a trapezium is 91 cm2 and its height is 7 cm. If one of the parallel sides is longer than the other by 8 cm, find the two parallel sides. |
Answer» Let the length of one parallel side of trapezium = x meter Length of other parallel side of trapezium = (x + 8) m Area of trapezium = 91 cm2 Area of trapezium = \(\frac{1}{2}\)(sum of sides) x distance between parallel sides 91 = \(\frac{1}{2}\)(x + x + 8) x 7 x + 4 = \(\frac{91}{7}\) x + 4 = 13 x = 13 - 4 = 9 Therefore length of one parallel side of trapezium = 9 cm Length of other parallel side of trapezium = 9 + 8 = 17 cm |
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