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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?

User Matti Wens
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1 Answer

6 votes

Answer:

  • 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
User Ujjual
by
8.0k points

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