Question

The length of a rectangular garden is $2$ feet longer than $3$ times its width. If the perimeter of the garden is $100$ feet, find the width of the garden.

• A. $12$
• B. $20$
• C. $40$
• D. $9$

Answer 1

The correct option is A $12$

Let width of rectangular field be $x$ feet.

Then, length of a rectangular field becomes $(3x+2)$ feet.

Perimeter of rectangular garden $=100$ feet.

$\Rightarrow$ $2[x+(3x+2\left)\right]=100$

$\Rightarrow$ $2[4x+2]=100$

$\Rightarrow$ $4x+2=50$

$\Rightarrow$ $4x=48$

$\Rightarrow$ $x=12$

$\therefore$ The width of rectangular garden is $12$ feet.