Question

Five equal squares are placed side by side to make a single rectangle whose perimeter is $372cm$. What is the area of each square?

• A. $872sq.cm$
• B. $900sq.cm$
• C. $984sq.cm$
• D. $961sq.cm$

Answer 1

The correct option is D $961sq.cm$

Let $a$ be the edge of each square.

Therefore,

Length of rectangle $\left(l\right)=5a$

Breadth of rectangle $\left(b\right)=a$

Let $p$ be the perimeter of rectangle.

$p=2(5a+a)=372cm\left(\text{Given}\right)$

$\Rightarrow 6a=\frac{372}{2}$

$\Rightarrow a=\frac{186}{6}=31cm$

Let $A$ be the area of square

$A=a^2={\left(31\right)}^2=961{cm}^2$