Question

The length of a rectangle is twice its width. If its perimeter is $54$ cm, find its length.

• A. $18cm$
• B. $10cm$
• C. $19cm$
• D. $15cm$

Answer 1

The correct option is A $18cm$

Let the width of the rectangle be $x$

Therefore, the length of the rectangle is $2x$.

Given, the perimeter is $54$ cm.

Perimeter $=2(w+l)=2(x+2x)=54$

$\Rightarrow 2\left(3x\right)=54$

$\Rightarrow 6x=54$

$\Rightarrow x=9\Rightarrow$ Width

$2x=18\Rightarrow$ Length

Therefore, the length of the rectangle is $18$ cm.