The base of a parallelogram is twice its height. If the area of the parallelogram is 72 sq. cm, find its… · ABC26GN4270
Subject: General Aptitude · Chapter: Area
The base of a parallelogram is twice its height. If the area of the parallelogram is 72 sq. cm, find its height.
Answer
No answer key was printed for this question.
Explanation
Let the height of the parallelogram be $x \mathrm{cm}$. Then, base $=(2 x) \mathrm{cm}$. $$\therefore 2 x \times x=72 \Leftrightarrow 2 x^{2}=72 \Leftrightarrow x^{2}=36 \Leftrightarrow x=6 \text {. }$$ Hence, height of the parallelogram $=6 \mathrm{cm}$.