Question

franklin is drawing a rectangle. the length will be 5 inches, and the area will be at least 20 square inches. let x represent the width of the rectangle. which inequality describes the problem? 5x ≥ 20 5x ≤ 20 solve the inequality. then, complete the sentence to describe the solution. the rectangle will be at least inches wide.

Explanation:

Step1: Recall area formula

The area formula for a rectangle is $A = l\times w$, where $l$ is length and $w$ is width. Here, $l = 5$ inches and $w=x$ inches, and $A\geq20$ square - inches. So, $5x\geq20$.

Step2: Solve the inequality

Divide both sides of the inequality $5x\geq20$ by 5. We get $\frac{5x}{5}\geq\frac{20}{5}$, which simplifies to $x\geq4$. So the rectangle will be at least 4 inches wide.

Answer:

1. First part: 5x ≥ 20
2. Second part: 4