SOLUTION: A school playground is rectangular and has a length of 50 m and a width of 30 m as shown. A safety zone of uniform width surrounds the playground. If the area of the safety zone eq

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Question 919891: A school playground is rectangular and has a length of 50 m and a width of 30 m as shown. A safety zone of uniform width surrounds the playground. If the area of the safety zone equals the area of the playground, what is the width of the safety zone?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, width of the safety zone.

Total area of zone and playground, (x+50)(x+30);
and this whole area is twice the area of the playground, consistent with description.
highlight_green%28%28x%2B50%29%28x%2B30%29=2%2A50%2A30%29;
Solve for x.