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)x/4 ≤ 12 (B)x/4

Question

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)x/4 ≤ 12 (B)x/4 < 12    Solve the inequality. Then, complete the sentence to describe the solution. The perimeter of the picture frame will be at most ____ inches.

Bytelearn · Accepted Answer

Dividing Wood into Pieces:  Leah divides the wood into 4 equal pieces, each side of the frame is at most 12 inches. So, each piece represents one side of the square frame. Finding Perimeter:  To find the perimeter x, we multiply one side by 4 because a square has four sides. So, x = 4 * 12. Calculating Perimeter:  Calculating the perimeter, x = 48 inches. This means the total length around the frame is 48 inches. Checking Inequality:  Now, we need to check which inequality fits. If each side is at most 12 inches, then dividing the perimeter by 4 should give us at most 12, which matches x/4 ≤ 12.

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