Q. The area of trapezium is 91cm² and its height is 7cm. If one of the parallel sides is longer than the other by 8cm, find the two parallel sides.
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Answer:
let one parallel side be x. then the other parallel side is longer than the other (x+8)
Area of trapezium =1/2 ×sum of parallel sides ×height
91cm²=1/2×(x+x+8)×7
91cm²=1/2×(2x+8)×7
2×91/7cm²=2x+8
182cm²/7=2x+8
26=2x+8
26_8=2x
18=2x
:.x=9
Hence,one parallel side =x=9cm
and other =x+8=9+8=17cm
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