Please help with following question: a graphic designer wants to place a decorat

Question

Please help with following question: a graphic designer wants to place a decorative matte on the periphery of a photo, and then cover it with glass and place it in an 8 Please help with following question: a graphic designer wants to place a decorative matte on the periphery of a photo, and then cover it with glass and place it in an 8 Please help with following question: a graphic designer wants to place a decorative matte on the periphery of a photo, and then cover it with glass and place it in an 8 a graphic designer wants to place a decorative matte on the periphery of a photo, and then cover it with glass and place it in an 8

Explanation / Answer

Given that

total area of the matte = area of the exposed photo

Area of photo in inches = (8-2l)(10-4l)

total area of the matte in inches = 32l + 20l - 8l2 = 52l - 8l2

(8-2l)(10-4l) = 52l - 8l2

We get

16l2 - 104l +80 = 0 By solving this equation

l = 5.608 and 0.89153 we take 0.89153 as it suites with the dimensions of frame.

Then area of the exposed photo is 40.000178 inch2 or 258.065 cm2

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