Question

Jason builds doghouses for a pet store. Each doghouse is a wooden structure with a rectangular base that has an area of 21 square feet and a length that is 4 feet more than its width.

If x represents the width of the doghouse, write an equation in the given form that can be used to determine the possible dimensions of the base of the doghouse.

Answer 1

Square root of 21 + 4 = w

Explanation:

Answer 2

Answer:
`x^2+4x-21=0`

Explanation:

You need to remember that formula for calculate the area of a rectangle:

`A=lw`

Where "l" is the lenght and "w" is the width.

You know that "x" represents the width of the doghouse, its rectangular base has an area of 21 square feet (
`A=21`) and its length is 4 feet more than its width (
`l=x+4`)

Then, substituting into the formula, you get:

`21=(x+4)(x)`

Simplifying, you get the following that can be used to determine the possible dimensions of the base of the doghouse:

`21=x^2+4x`

`x^2+4x-21=0`