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Before he went to camp last summer, Mason's grandmother made him a patchwork quilt out of his old T-shirts. The quilt has an area of qq square feet. To create the patchwork design, she used 1212 rectangular patches, each with an area of 22 square feet.\newlineWhich diagram models the story?\newlineWhich equation models the story?\newlineChoices:\newline(A) q12=2\frac{q}{12} = 2\newline(B) 2q=122q = 12

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Q. Before he went to camp last summer, Mason's grandmother made him a patchwork quilt out of his old T-shirts. The quilt has an area of qq square feet. To create the patchwork design, she used 1212 rectangular patches, each with an area of 22 square feet.\newlineWhich diagram models the story?\newlineWhich equation models the story?\newlineChoices:\newline(A) q12=2\frac{q}{12} = 2\newline(B) 2q=122q = 12
  1. Analyze Problem Statement: Analyze the problem statement: Mason's grandmother made a quilt with an area of qq square feet using 1212 patches, each 22 square feet.
  2. Determine Total Area: Determine the total area of the patches: Multiply the area of each patch by the number of patches, 1212 patches ×2\times 2 square feet each =24= 24 square feet.
  3. Set Up Equation: Set up the equation relating the total area of the patches to the area of the quilt: Since the quilt is made up of these patches, the total area of the quilt, qq, should equal the combined area of the patches, which is 2424 square feet. So, q=24q = 24.

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