Kendra is drawing a rectangle. The length will be 4 inches, and the area will be at least 12 square inches. Let x represent the width of the rectangle. Which inequality describes the problem? Choices: (A)4x ≤ 12 (B)4x ≥ 12 Solve the inequality. Then, complete the sentence to describe the solution. The rectangle will be at least ____ inches wide.

Question

Kendra is drawing a rectangle. The length will be 4 inches, and the area will be at least 12 square inches. Let x represent the width of the rectangle. Which inequality describes the problem?   Choices: (A)4x ≤ 12 (B)4x ≥ 12    Solve the inequality. Then, complete the sentence to describe the solution. The rectangle will be at least ____ inches wide.

Bytelearn · Accepted Answer

Understand and Set Up:  Step 1: Understand the problem and set up the inequality. Kendra needs a rectangle with a length of 4 inches and an area of at least 12 square inches. The formula for the area of a rectangle is length × width. Here, length = 4 inches and area ≥ 12 square inches. So, we set up the inequality: 4x ≥ 12 Solve the Inequality:  Step 2: Solve the inequality. To find the minimum width x, we divide both sides of the inequality by 4: x ≥ 12 / 4 x ≥ 3 Interpret the Solution:  Step 3: Interpret the solution. The solution x ≥ 3 means that the width of the rectangle must be at least 3 inches to satisfy the area requirement of at least 12 square inches.

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