8×10 Frame
March 8th, 2010
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8×10 photograph and frame. Find x.?
Suppose that we have an 8×10 cm photograph which is surrounded by a frame of uniform width x. If the area of the frame is equal to the area of the photograph, what is X?
i tried it like 20 times, each time the answer doesnt fit. help please.
Since the photograph is 8×10, the frame is (8+x) times (10+x). The value of x represents the wooden frame that covers the photograph.
Area of frame is really the area covered by x and is
(8+2x)(10+2x) – 80 = 36x+4x^2.
Equate this to 80 and you get
4x^2+36x – 80 = 0 which can be solved for x. I got 1.84 as one of the answers for x.
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