The area of a trapezium is 1586 cm²and the distance between its parallel sides is 26 cm. If one of the parallel sides is 84 cm, then find the other parallel side.

38 cm

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23 cm

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25 cm

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Data insufficient

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Solution

The correct option is A
38 cm

Area of trapezium = h $\frac{(a + b)}{2}$ sq. units

$\Rightarrow$ $\frac{1}{2}$ $\times$ (84 + x) $\times$ 26 = 1586 $c m^{2}$

$\Rightarrow$ x = 38 cm

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The area of a trapezium is 1586 cm2and the distance between its parallel sides is 26 cm. If one of the parallel sides is 84 cm, then find the other parallel side.

The correct option is A 38 cm Area of trapezium = h (a+b)2 sq. units ⇒ 12 × (84 + x) × 26 = 1586 cm2 ⇒ x = 38 cm

The area of a trapezium is 1586 cm²and the distance between its parallel sides is 26 cm. If one of the parallel sides is 84 cm, then find the other parallel side.

The correct option is A
38 cm

Area of trapezium = h $\frac{(a + b)}{2}$ sq. units

$\Rightarrow$ $\frac{1}{2}$ $\times$ (84 + x) $\times$ 26 = 1586 $c m^{2}$

$\Rightarrow$ x = 38 cm