SOLUTION: a 2cm wide frame is placed around a square photograph. if the total area of the frame and photograph is 144cm^2. determine the dimensions of the photograph
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Question 392090: a 2cm wide frame is placed around a square photograph. if the total area of the frame and photograph is 144cm^2. determine the dimensions of the photograph Answer by robertb(5830) (Show Source):
You can put this solution on YOUR website! Let x = edge of the square photo. Then its area is .
Area of the 4 square corners = 4*2*2 = 16,
Area of the 4 rectangles making up the frame = 4*2*x = 8x.
Then .
==> ==> (x + 16)(x-8) = 0 ==> x = 8.
Therefore the photo 8cm x 8 cm.
