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? 6 in. 9 in. 12 in. 36 in.

Answer 1

Let the width of rectangle be X inches

Then according to question

Length of rectangle will be 3X

Also, we know that

Area of rectangle is = L×B

108 = X . 3X

3X^2 = 108

Divide both sides by 3

X^2 = 36

Taking squareroot of both sides

X=6

Therefore, width of rectangle is 6 inches

Answer 2

1. 6 in.

Step by step explanation:

Let the width of our rectangle be x inches.

We have been given that the length of our rectangle is three times the width, therefore, length of our triangle will be 3x inches.

We are told that area of the rectangle is 108 square inches.

Since we know that
`\text{Area of a rectangle}=\text{Width}\cdot\text{Length}`

Let us substitute our given information in area formula.

`108=x\cdot 3x`

Upon multiplying 3x by x we will get,

`108=3x^(2)`

Let us divide both side of our equation by 3.

`(108)/(3) =\frac{3x^(2)} {3}`

`36=x^(2)`

Upon taking square root of both sides of our equation we will get,

`6\pm=x`

Since width cannot be negative, therefore, width of our rectangle will be 6 inches and 1st option is the correct choice.