Question

The base of a parallelogram is three times its height. If the area of the parallelogram is $75$ sq cm, then its height is

• A. $5cm$
• B. $5\sqrt{2}cm$
• C. $3\sqrt{2}cm$
• D. $15cm$

Answer 1

The correct option is A $5cm$

Let the height of the parallelogram be $x$ m.
Then, base $=3x$.
$\therefore$ Area $=b\times h=x\times 3x=75$
$\Rightarrow 3x^2=75$

$\Rightarrow x^2=\frac{75}{3}$
$\Rightarrow x^2=25$

$\Rightarrow x=5$