Question

The perimeter of the rectangle and square are same. Length and breadth of the rectangle are 10 cm and 8 cm respectively. What is the area of the square?

• A. $114$ sq. cm
• B. $36$ sq. cm
• C. $81$ sq. cm
• D. $64$ sq. cm

Answer 1

The correct option is C $81$ sq. cm

Let $l,b$ be the length and breadth of the rectangle and $s$ be the side of the square

Given that

$\Rightarrow 2(l+b)=4s$

$\Rightarrow 2(10+8)=4s$

$\Rightarrow 2\times 18=4s$

$\Rightarrow 4s=36$

$\Rightarrow s=9$

So, Area of square $=s^2$

$\Rightarrow$ Area of square $=9^2$

$\Rightarrow$ Area of square $=81\text{sq. cm}$