SOLUTION: A square painting is surrounded by a 3 centimeter-wide frame. If the total area of the painting plus the frame is 961 sq cm, find the dimensions of the painting.

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Question 980672: A square painting is surrounded by a 3 centimeter-wide frame. If the total area of the painting plus the frame is 961 sq cm, find the dimensions of the painting.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The painting is square of x for both width and length.

x%5E2, the area of just the painting
%28x%2B2%2A3%29%28x%2B2%2A3%29, the area of frame and the painting

highlight_green%28%28x%2B6%29%5E2=961%29------Solve this equation.

x%5E2%2B12x-925=0
%28x-25%29%28x%2B37%29=0
highlight%28x=25%29, because it is a meaningful, POSITIVE value.