Question

Let $S$ and $R$ be perimeters of square and rectangle respectively. If area of a square is same as area of a rectangle then compare their perimeters and choose the correct answer from following.

• A. $R>S$
• B. $R<S$
• C. $R=S$
• D. Can't determine

Answer 1

The correct option is A $R>S$

Area of square $=$ Area of rectangle

$a^2$$=$$L\times B$

Perimeter of square,$S=4a$

Perimeter of rectangle,$R=$$2\times$$(L+B)$

We will take example for this,

Let $a=4$, $L=8$ and $B=2$

Now,

$S=16$

$R=20$

Hence, Option A is correct.