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Parallelograms on the Same Base and between the Same Parallels

The distance ...

Question

The distance between two parallel sides of a trapezium of area $441 s q . c m$ is $18 c m$ . If one of the sides is $28 c m$ , find the other side.

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Solution

Distance between parallel sides = height of trapezium
Area of trapezium = $\frac{1}{2}$ (sum of parallel sides) $\times$ height
$441 = \frac{1}{2} (x + 28) \times 18$
$\Rightarrow x + 28 = 49 \Rightarrow x = 21 c m$

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Parallelograms on the Same Base and between the Same Parallels

Standard IX Mathematics

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