Question

The relation of length of a rectangle $l$ and its width $w$ is given as $l=2w$. If its perimeter is given as $128$, then find the width of the rectangle.

• A. $4$
• B. $8$
• C. $16$
• D. $21\frac{1}{3}$

Answer 1

The correct option is D $21\frac{1}{3}$

Given length of rectangle $l$ and width is $w$ and given $l=2w$

Then perimeter of rectangle $2(l+w)$

But perimeter given $=128$

$\therefore 2(l+w)=128\Rightarrow l+w=64$

put the value $l=2w$, we get

$2w+w=64$

$\Rightarrow 3w=64$

$\Rightarrow w=21\frac{1}{3}$