Question

In a trapezium ABCD,AB‖DC,AB=37 cm,DC=(x+36)cm and height =(x−1 / 2)cm. If its area is 990 cm2. Find x

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Answer 1

Answer:

In △ALD and △BMC:

DL

2

=AD

2

−AL

2

=5

2

−4

2

=9

⇒LD=3cm

Similarly, MC=3cm

∴x=DL+LM+MC (Length of LM=AB=7cm)

x=3+7+3=13cm

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