Chapter 14.5, Problem 23PSC

To determine

To construct a square equal in area to a given parallelogram.

Explanation of Solution

Given:

The given parallelogram.

Calculation:

The square equal in area to a given parallelogramcan be constructed as follows-

Let the side of the square be $a$ unit.

Let the parallel sides of the parallelogram be of $b$ unit and $c$ be the distance between them.

Therefore the area will be equal when

  $\begin{array}{l}a\times a=b\times c\\ a^2=bc\end{array}$