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

Answer:

Square root of 21 + 4 = w

Step-by-step explanation:

Answer 2

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

Step-by-step 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:

$21=x^2+4x$

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