A rectangular museum painting has a uniform width frame around it. The frame is 8 feet high by 10 feet long. If the diagonal of the painting is 10 feet, determine the width of the frame.

Answer 1

If the painting has length x and height y, and the frame has width w, then we have

x+2w = 10
y+2w = 8
x^2+y^2 = 100

Now just solve for w