The shaded region outside the small square but inside the large rectangle models the grass in Shannon’s back yard. A rectangle has a width of 7 x minus 5 and height of 4 x. A smaller box is inside of the rectangle with side lengths of x.

If the dimensions given are measures in feet, which expression represents the area of the shaded region?
27 x squared minus 20 x
18 x squared minus 15 x
20 x minus 27 x squared
15 x minus 18 x squared

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step-by-step explanation:

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

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noncoplanar points are points that do not lie on the same line.