SOLUTION: a rectangular lawn has an area of 667 square meters. Surrounding the lawn is a flower border 4 meters wide. The border alone has an area of 548 square meters. A circular sprinkle

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Question 1043693: a rectangular lawn has an area of 667 square meters. Surrounding the lawn is a flower border 4 meters wide. The border alone has an area of 548 square meters.
A circular sprinkler is installed in the middle of the lawn. What is the spraying radius of the sprinkler if it covers the entire yard, including the flower border?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
No information about how the two garden dimensions relate, so assume a square lawn.

x, the side of either rectangular (or square) dimension.

x%5E2=667
%28x%2B2%2A4%29%5E2=667%2B548
x%2B8=sqrt%28667%2B548%29, and sqrt%28667%2B548%29 IS THE DIAMETER of the sprinkler spray, so this means %281%2F2%29sqrt%281215%29 is the RADIUS.

Recall, the sprinkler covers the entire yard INCLUDING the flower bed and garden. This is the same as %28x%2B8%29%2F2.