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.

Question

asked Feb 20, 2023 14.1k views

1 Answer

Jeff Maes · Answer 1 · 2023-02-24T17:09:09+0000

Given:

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

Consider the area of the rectangle.

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

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

$x\le5$