9) The area of a trapezium is 182 cm . Its height is
14 cm. The shorter parallel side is shorter than
the other one by 16 cm. Find the lengths of the
parallel sides.
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Answer:
Let one side be X
then other side is x-16
Area= 1/2 (sum of parallel sides) ×h
182=1/2(X+x-16)14
182×2=(2x-16)14
364=(2x-16)14
364/14=2x-16
26=2x-16
26+16=2x
42=2x
2x=42
X=42/2
X=21
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