Question

The area of the square is equal to the area of the rectangle whose length is $7.26m$ and breadth is $6m$. Find the side of the square.

Answer 1

Let $a$ m be the length of the side of the square.

Now, the area of the rectangle whose length is $7.26$ m and breadth is $6$ m =$7.26\times 6$ m${}^2$.

According to the problem,

$a^2=7.26\times 6$

or, $a^2=\frac{726\times 6}{100}=\frac{121\times 9}{25}$

or, $a=\frac{33}{5}=6.6$

So side of the square is of lenght $6.6$ m.