SOLUTION: A rectangular painting measures 10 inches by 16 inches and contains a frame of uniform width around the four edges. The perimeter of the rectangle formed by the painting and its fr

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Question 1106894: A rectangular painting measures 10 inches by 16 inches and contains a frame of uniform width around the four edges. The perimeter of the rectangle formed by the painting and its frame is 76 inches. Determine the width of the frame.
Answer by josgarithmetic(39631) About Me  (Show Source):
You can put this solution on YOUR website!
x, the uniform width of the frame surrounding the painting.

Outside perimeter of frame, 76.

highlight_green%282%2810%2B2x%29%2B2%2816%2B2x%29=76%29
-
5%2Bx%2B8%2Bx=19
2x=19-5-8
2x=19-13
highlight%28x=3%29