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Find the area of the trapezium.

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27

{cm}^{2}

12

{cm}^{2}

18

{cm}^{2}

15

c m^{2}

answer is C.

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Detailed Solution

The given trapezium is,
Question Image

We have to find the area of trapezium.
Area of a trapezium

= \frac{1}{2} \times

(sum of parallel sides)

\times

distance between them.

⇒ A = 12 × l 1 + l 2 × d

\Rightarrow A = \frac{1}{2} \times (6 + 3) \times 4

\Rightarrow A = 9 \times 2

\Rightarrow A = 18 c m^{2}

Therefore, the area of a trapezium

= 18 c m^{2} .

Hence, option 3 is correct.

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