Question

The area A of the rectangle shown is described with the inequality 36 ≤ A ≤ 72. Write and solve a compound inequality for x. Are all of your solutions viable?

Answer 1

• 6 ≤ x ≤ 12

Explanation:

• Note, missing detail
• Sides of the rectangle are 1.5 and 4x

Area formula

• A = lw

Applied to the given rectangle, we have

• A = 1.5*4x = 6x

Since 36 ≤ A ≤ 72, substituting A

• 36 ≤ 6x ≤ 72
• 6 ≤ x ≤ 12