Question

the perimeter of a rectangle is to be no greater than 80 centimeters and the length must be 35 centimeters. find the maximum width of the rectangle. simplify the left - hand side of the inequality x + 35+x + 35 ≤ 80. x + 35+x + 35 ≤ 80 (simplify your answer. do not factor.)

Explanation:

Step1: Combine like - terms on the left side

$x + 35+x+35=(x + x)+(35 + 35)=2x + 70$

Step2: Solve the inequality

$2x+70\leq80$
Subtract 70 from both sides: $2x+70 - 70\leq80 - 70$
$2x\leq10$
Divide both sides by 2: $\frac{2x}{2}\leq\frac{10}{2}$
$x\leq5$

Answer:

$x\leq5$