A rectangular lawn has an area of 126 m^2. Surrounding the lawn is a flower border 4 m wide having an area of 264 m^2. 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 flower border).
Thanks in advance... will choose best answer!
Thanks in advance... will choose best answer!
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x = length , y = width of the rectangular lawn , width the flower border x+8 , and y+8
xy = 126 (equation 1)
and (x+8)(y+8)-xy = 264
or x+y = 25 (equation 2)
solve( equation 1 and equation 2 )---> x = 18 , y = 7
with border , length = 26, width = 15 ---> Diagonal = sqrt(26^2+15^2) = 30 = 2 Radius ---> Radius = 15m
xy = 126 (equation 1)
and (x+8)(y+8)-xy = 264
or x+y = 25 (equation 2)
solve( equation 1 and equation 2 )---> x = 18 , y = 7
with border , length = 26, width = 15 ---> Diagonal = sqrt(26^2+15^2) = 30 = 2 Radius ---> Radius = 15m