Your class is making a rectangular poster for a rally. the posters design is 6 in. high by 10 in. wide. the space allowed for the poster is 4 ft high by 8 ft wide. what are the dimensions of the largest poster that will fit in the space?

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 For this case the area is given by:

 A = (22 + x) * (28 + x) = 722

 Rewriting we have:

 616 + 22x + 28x + x ^ 2 = 722

 x ^ 2 + 50x + 616 - 722 = 0

 x ^ 2 + 50x - 106 = 0

 Solving the polynomial we have:

 x1 = 2.04

 x2 = -52.04

 We take the positive root:

 x = 2.04 inches:

 The width of the border to the nearest inch is:

 x = 2inches

x-3y=4

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