Question

The perimeter and length of a rectangular hideout is given. The width of the hideout is ft.

• A. $\frac{77}{2}$
• B. $\frac{200}{123}$
• C. $\frac{200}{123}$

Answer 1

The correct option is A $\frac{77}{2}$

Length of the hideout = $\frac{123}{2}$ ft

Perimeter of the rectangular hideout = 200 ft

Perimeter of the rectangular hideout = 2 (Length + Width )
$\Rightarrow$ 200 = 2 $\times$ $\frac{123}{2}$+ 2w
$\Rightarrow$ 200 = 123 + 2w
$\Rightarrow$ 2w = 200 - 123
$\Rightarrow$ 2w = 77
$\Rightarrow$ w = $\frac{77}{2}$

Hence, the width of the rectangular hideout is $\frac{77}{2}$ ft.