Question

Let $a$ be the edge of square. Let $b$ and $c$ be length and breadth of the rectangle. If perimeters of square and rectangle are equal then what can you say about their sides.

• A. $a=b+c$
• B. $a>b+2$
• C. $a=\frac{b+c}{2}$
• D. None of these

Answer 1

The correct option is C $a=\frac{b+c}{2}$

Perimeter of the square = $4a$

Perimeter of the rectangle =$2(b+c)$

As per given condition, Perimeter of square = Perimeter of Rectangle

$\therefore$ $4a=2(b+c)$

$\therefore$ $a=\frac{(b+c)}{2}$