SOLUTION: A frame for a picture is 2.5 inches wide. The picture enclosed by the frame is 5 inches longer than it is wide. If the area of the picture itself is 300 square inches, determine th
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Question 1009237: A frame for a picture is 2.5 inches wide. The picture enclosed by the frame is 5 inches longer than it is wide. If the area of the picture itself is 300 square inches, determine the outer dimensions of the frame.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Area A = LW = 300 and L = W + 5 so by substitution we have
(W + 5)(W) = 300
W^2 + 5W - 300 = 0
(W + 20)(W - 15) = 0
so that the width is 15 inches and the length must be 20 inches.
If the frame is 2.5 inches all around it adds 5 inches to the length and the width, making the overall dimensions
20 in x 25 in
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