Leah is making a square wooden picture frame for woodworking class. After dividing a piece of wood she wants to use into 4 equal pieces, Leah figures each side of her frame can be at most 12 inches long.Let x represent the perimeter of the picture frame. Which inequality describes the problem?Choices:(A) \frac{x}{4} < 12(B) 4x≤12Solve the inequality. Then, complete the sentence to describe the solution.The perimeter of the picture frame will be at most ___ inches.
Q. Leah is making a square wooden picture frame for woodworking class. After dividing a piece of wood she wants to use into 4 equal pieces, Leah figures each side of her frame can be at most 12 inches long.Let x represent the perimeter of the picture frame. Which inequality describes the problem?Choices:(A) 4x<12(B) 4x≤12Solve the inequality. Then, complete the sentence to describe the solution.The perimeter of the picture frame will be at most ___ inches.
Calculate Maximum Perimeter: Leah wants each side of the frame to be at most 12 inches long, and there are 4 sides in a square frame. So, we calculate the maximum perimeter by multiplying the maximum length of one side by the number of sides: 12 inches ×4=48 inches.
Identify Inequality: The inequality that fits this situation is x≤48, where x is the perimeter of the frame. This means the perimeter should be less than or equal to48 inches.
Choose Correct Inequality: Comparing the given choices, (A) \frac{x}{4} < 12 translates to x < 48, and (B) 4x≤12 translates to x≤48. Since Leah's frame can be exactly 48 inches, choice (B) is the correct inequality.
More problems from One-step inequalities: word problems