Question

The perimeter of a rectangular piece of paper is 56 cm. If the length is three times its width, find its width.

• A. 8 cm
• B. 56 cm
• C. 7 cm
• D. 21 cm

Answer 1

The correct option is C

7 cm

Given, perimeter of the rectangular piece of paper = 56 cm

Length = 3 $\times$ width (given)
Let the width be x.
$\Rightarrow$ Length $=3x$
$\therefore$ Perimeter = 2 (length + width)
$=2(3x+x)=8xcm$

$\Rightarrow 8x=56$ (since perimeter = 56 cm)
$\Rightarrow x=7cm$

$\therefore$ Width of the rectangle is 7 cm.