Question

The breadth of a rectangular garden is $\frac{2}{3}$ of its length. If its perimeter is 40 m, find its length?

• A. 16 m
• B. 12 m
• C. 6 m
• D. 10 m

Answer 1

The correct option is B 12 m

Let the length of the garden be ‘x’ m

Breadth = $\frac{2}{3}$x

Perimeter = 2 [Length + Breadth]

$2(x+\frac{2}{3}$) = 40

$\Rightarrow 2x+\frac{4}{3}x=40$ (Solving the bracket)

$\Rightarrow 6x+4x=120$

$\Rightarrow 10x=120$

$\therefore x=\frac{120}{10}$

$\therefore$ Length = 12 m and breath $\frac{2}{3}x=12\times \frac{2}{3}=8$