SOLUTION: A rectangular picture, inside a rectangular frame, measures 40 cm by 30 cm. The outside perimeter of the frame is 152 cm. What is the width of the frame?

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Question 764017: A rectangular picture, inside a rectangular frame, measures 40 cm by 30 cm. The outside perimeter of the frame is 152 cm. What is the width of the frame?
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
We may infer that width of the frame is uniform. Using w for the width of the frame, the two directional outer lengths of the frame are 30+2w and 40+2w.
This outer perimeter is 2%2830%2B2w%29%2B2%2840%2B2w%29=152 and you solve for w, after first simplifying.
60%2B4w%2B80%2B4w=152
8w%2B140=152
8w=12
highlight%28w=3%2F2%29