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. ents 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.

The equation that can be used to determine the possible dimensions is,

             or

Step-by-step explanation:

The base of the Jason's doghouse is rectangle. And the area of the base is 21 square feet.

The length of the rectangular base is 4 feet more than its width.

Let us assume that the width is feet, so the length will be feet.

So the area will be the product of length and width,

i.e

But it is given to be 21 square feet, so

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is