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

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*\ 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.