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.

Q. Find the area of a trapezium if the distance between its parallel sides is 26 cm and one of the parallel sides is 84 cm, the other parallel side is half of the perpendicular distance between the parallel sides.

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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