The altitude of a parallelogram is twice of the length of the base and its area is 900cm². The lengths of base and attitude respectively are

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35 cm, 70 cm

$15 \sqrt{2} cm, 30 \sqrt{2} cm$

15 cm, 30 cm

25 cm, 5 cm

answer is A.

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Detailed Solution

Area of parallelogram
$\begin{array}{l} = 900 {cm}^{2} \\ b \times h = 900 \\ x \times 2 x = 900 \\ 2 x^{2} = 900 \\ x^{2} = 450 \\ x = \sqrt{450} \\ x = 15 \sqrt{2} \end{array}$
$Base = 15 \sqrt{2} cm, h = 30 \sqrt{2} cm$

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