Question

The Area of a rectangle is 3x2 + 9x square inches

. The length of the rectangle is 3x inches.

What is the width of the rectangle?

1. Explain how you find the area of a rectangle.

2. Explain how you find the width of a rectangle given the Area and the length.

3. Show you work and solve for the width of this rectangle.

Answer 1

Width of rectangle =
`W = x + 3` inches

Explanation:

Given Data:

Length of rectangle = L =
`3x` inches ------>(Equation 1)

Area of rectangle = A =
`3x^(2) + 9x` square inches------>(Equation 2)

To find out:

Width of rectangle = W = ?

Formula:

Area = A = L×W

Width of rectangle =
`W = (A)/(L)`

Solution:

Width of rectangle =
`W = (A)/(L)`

Width of rectangle =
`W = (3x^(2) + 9x )/(3x)`

Width of rectangle =
`W = (3x(x + 3) )/(3x)`

Width of rectangle =
`W = x + 3` inches