Question

There is a 250 ft barbed wire along the perimeter of the rectangular hideout. The length of the hideout is 450 /7 ft. Find the width of the yard.

• A. $\frac{650}{7}$ feet
• B. $\frac{7}{650}$ feet
• C. $\frac{250}{7}$ feet
• D. $\frac{450}{7}$ feet

Answer 1

The correct option is A $\frac{650}{7}$ feet

Perimeter is 250 ft.

Length of the hideout = $\frac{450}{7}$ ft

Perimeter of the rectangle = 2 (Length + Width )

$\Rightarrow$ Perimeter of the rectangle = 2 $\times$ $\frac{450}{7}$+ 2w

$\Rightarrow$ 250 = $\frac{900}{7}$ +2 w

$\Rightarrow$ 2w = 250 - $\frac{900}{7}$

= $\frac{1750-900}{7}$

= $\frac{850}{7}$

$\Rightarrow \text{w}=\frac{850}{7\times 2}=\frac{425}{7}$

Hence, the width is $\frac{425}{7}$ ft.