Question

The perimeter of a rectangle is $48$ units. If the length is twice the breadth, then the length (in units) is

• A. $16$
• B. $8$
• C. $12$
• D. $24$

Answer 1

The correct option is A

$16$

Given, length is twice the breadth and perimeter is $48$ units

Let the breadth $=x$units. So length will be $2x$

$2$ (length + breadth) $=$Perimeter

$$\begin{gathered} 2\times \left(2x+x\right)=48 \\ 2\times 3x=48 \\ 6x=48 \\ x=\frac{48}{6} \end{gathered}$$

Dividing the numerator and denominator by common factor$6$

$x=\frac{48÷6}{6÷6}$$\Rightarrow \frac{8}{1}$

Now, length $\Rightarrow 2x=2\times 8$

$=16$

Hence, A is the correct option.