Leonard needs to design a mat with an 8×10 opening for a photo that he is going to frame. He wants the mat to have the same width on all four sides, as shown in the following figure. A small, 8-inch-by-10-inch rectangle inside a larger rectangle. The distance between the outer edges of the 2 rectangles is labeled w.

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The combined area of the photo and the mat needs to be 224 square inches.

Part A: Which equation represents the combined area of the photo and the mat?

Part B: What is the factored form of the equation that represents the combined area of the photo and the mat?

Select two answers: one for Part A and one for Part B.

A: (2w−8)(2w−10)=224
B: 4(w+3)(w−12)=0
A: (8−2w)(10−2w)=224
A: (8+2w)(10+2w)=224
B: 4(w−3)(w+12)=0