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Area of Trapezium by Cutting into Convenient Shapes

The area of a...

Question

The area of a trapezium is $90 c m^{2} .$ If its height is 6 cm and one of the parallel sides measures 20 cm, then the length of the other parallel side is ___ cm.

A

12 cm

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B

15

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C

20

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D

30

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Solution

The correct option is A
12 cm

Let the length of the other parallel side = x

Area of trapezium $= \frac{1}{2}$ (sum of || sides) $\times$ height

$90 = \frac{1}{2} (20 + x) (6)$

$30 = 20 + x$

$∴ x = 10 c m$

Hence (A)

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Area of Trapezium by Cutting into Convenient Shapes

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