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Mathematics, 04.06.2020 19:11 johhnyappleseed2006

One edge of a painting is 6 in. longer than the shorter edge. The picture has a 2-in.-wide frame. There is one rectangle inside the other rectangle. The distance between two edges of two rectangles is 2. The length of the rectangle is x + 6 and width is x. The portion between two rectangles is shaded.

Part A
Which quadratic function represents the total area of the picture and frame?

A. f(x) = x2 + 8x + 12
B. f(x) = x2 + 10x + 24
C. f(x) = x2 + 12x + 32
D. f(x) = x2 + 14x + 40
Part B
What is the total area of the framed picture if its shorter edge is 8 inches long?
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One edge of a painting is 6 in. longer than the shorter edge. The picture has a 2-in.-wide frame.

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