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 q square feet. To create the patchwork design, she used 12 rectangular patches, each with an area of 2 square feet.Which diagram models the story?Which equation models the story?Choices:(A) 12q=2(B) 2q=12
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 q square feet. To create the patchwork design, she used 12 rectangular patches, each with an area of 2 square feet.Which diagram models the story?Which equation models the story?Choices:(A) 12q=2(B) 2q=12
Analyze Problem Statement: Analyze the problem statement: Mason's grandmother made a quilt with an area of q square feet using 12 patches, each 2 square feet.
Determine Total Area: Determine the total area of the patches: Multiply the area of each patch by the number of patches, 12 patches ×2 square feet each =24 square feet.
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, q, should equal the combined area of the patches, which is 24 square feet. So, q=24.
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