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Leah is making a square wooden picture frame for woodworking class. After dividing a piece of wood she wants to use into 44 equal pieces, Leah figures each side of her frame can be at most 1212 inches long.\newlineLet xx represent the perimeter of the picture frame. Which inequality describes the problem?\newlineChoices:\newline(A) \frac{x}{4} < 12\newline(B) x412\frac{x}{4} \leq 12\newlineSolve the inequality. Then, complete the sentence to describe the solution.\newlineThe perimeter of the picture frame will be at most ___\_\_\_ inches.

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Q. Leah is making a square wooden picture frame for woodworking class. After dividing a piece of wood she wants to use into 44 equal pieces, Leah figures each side of her frame can be at most 1212 inches long.\newlineLet xx represent the perimeter of the picture frame. Which inequality describes the problem?\newlineChoices:\newline(A) x4<12\frac{x}{4} < 12\newline(B) x412\frac{x}{4} \leq 12\newlineSolve the inequality. Then, complete the sentence to describe the solution.\newlineThe perimeter of the picture frame will be at most ___\_\_\_ inches.
  1. Calculate Maximum Perimeter: Leah wants each side of the frame to be at most 1212 inches long, and there are 44 sides in a square frame. So, we calculate the maximum perimeter by multiplying the maximum length of one side by the number of sides: 1212 inches ×4=48\times 4 = 48 inches.
  2. Identify Inequality: The inequality that fits this situation is x48x \leq 48, where xx is the perimeter of the frame. This means the perimeter should be less than or equal to 4848 inches.
  3. Choose Correct Inequality: Comparing the given choices, (A) \frac{x}{4} < 12 translates to x < 48, and (B) x412\frac{x}{4} \leq 12 translates to x48x \leq 48. Since Leah's frame can be exactly 4848 inches, choice (B) is the correct inequality.

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