Question

The area of a parallelogram is 72cmand its altitude is twice the corresponding base. Then the length of the base is

Answer 1

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♠ Let the altitude be x.

Then, base = 2x.



So, its area would be -

$\sf{= base\: \times \: altitude}$

$\sf{= x \times 2x}$

$\sf{= {2x}^{2}}$




♠ But, given area = 72 cm

=> $\sf{{2x}^{2} = 72}$

=> $\sf{{x}^{2} = \frac{72}{2}}$

=> $\sf{{x}^{2} = 36}$

=> $\sf{x = \sqrt{36}}$

=> $\sf{x = 6}$



♥ •°• $\sf{Altitude \: = x = 6 cm}$

$\sf{Base \: = 2x = 2(6) = 12 cm}$ ♥
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