Question

The rectangle below has an area of x^2+11x+28x 2 +11x+28x, squared, plus, 11, x, plus, 28 square meters and a length of x+7x+7x, plus, 7 meters. What expression represents the width of the rectangle?

Answer 1

`Width = x + 4`

Explanation:

Given

Shape: Rectangle

`Area = x^2 + 11x + 28`

`Length = x + 7`

Required

Determine the width

For a rectangle:

`Area = Length * Width`

Substitute values for Length and Area

`x^2 + 11x + 28 = (x + 7) * Width`

Factorize the expression on the left hand side

`x^2 + 7x + 4x + 28 = (x + 7) * Width`

`x(x + 7) + 4(x + 7) = (x + 7) * Width`

`(x + 7)(x + 4) = (x + 7) * Width`

Divide both sides by x + 7

`Width = x + 4`