Question

The length of a rectangle is three times the width. The area of the rectangle is 108 sq in. What is the width of the rectangle?

Answer 1

width is 6 and length is 18

Answer 2

Answer: The width of the rectangle=6 inches

Step-by-step explanation:

Let the width of the rectangle be x

then the length of the rectangle will be 3x.

As per the given question

Area of the rectangle= length × breadth

=$3x\times\ x$=$3x^2$=108 sq in.

Dividing both sides by 3 , we get

$\Rightarrow\ x^2=36\\\Rightarrow\ x=+6,-6$

length can not be negative ,therefore x=6 in.

Thus, width of the rectangle=x=6 inches

length of rectangle =3x=18 inches.