SOLUTION: A rectangular portrait measures 50cm by 70cm. It is surrounded by a rectangular frame of uniform width. If the area of the frame is the same as the area of the portrait, what is th

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Question 1123807: A rectangular portrait measures 50cm by 70cm. It is surrounded by a rectangular frame of uniform width. If the area of the frame is the same as the area of the portrait, what is the approximate width of the frame.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, uniform width border

Picture AND Border total area, %2850%2B2x%29%2870%2B2x%29


area of the frame is the same as the area of the portrait, what is the approximate width of the frame.

%2850%2B2x%29%2870%2B2x%29=2%2A50%2A70
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2%2A2%2825%2Bx%29%2835%2Bx%29=2%2A2%2A25%2A2%2A35
%2825%2Bx%29%2835%2Bx%29=2%2A25%2A35-------continue to solve any way you want.
x%5E2%2B60x%2B25%2A35-2%2A25%2A35=0
x%5E2%2B60x-25%2A35=0
x=%28-60%2Bsqrt%283600%2B4%2A875%29%29%2F2



x=12.13, approximately