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. submit work it out not feeling ready yet? these can help:

Explanation:

Step1: Determine the inequality

The area of a rectangle is given by \( A = \text{length} \times \text{width} \). Here, length is 5 inches, width is \( x \) inches, and the area is at least 20 square inches. "At least" means greater than or equal to, so the inequality is \( 5x \geq 20 \).

Step2: Solve the inequality

To solve \( 5x \geq 20 \), divide both sides by 5: \( \frac{5x}{5} \geq \frac{20}{5} \), which simplifies to \( x \geq 4 \).

Answer:

The inequality is \( 5x \geq 20 \), and the rectangle will be at least 4 inches wide.