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Write and solve an inequality to determine the values that x can be so the area of the rectangle shown is at least 27 centimeters squared.

Write and solve an inequality to determine the values that x can be so the area of-example-1
User Tbleher
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1 Answer

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Given:

Width of the rectangle =3 and length of the rectangle = 4+x.

Consider the area of the rectangle.


A=lw

Substitute l=4+x and w=3 in the formula.


A=3(4+x)
A=12+3x
A=3x+12

The area of the rectangle is at least 27 centimeters squared.


A\le27

Substitute A=12+3x in the inequality, we get


3x+12\le27

The inequality is


3x+12\le27

Subtracting 12 from both sides of the inequalities, we get


3x+12-12\le27-12


3x\le15

Dividing both sides by 5, we get


(3x)/(3)\le(15)/(3)
x\le5

Hence the solution is


x\le5

User Jeff Maes
by
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