SOLUTION: Glenn cuts half a rectangular lawn, 40m by 30m, by mowing strips of equal width around the perimeter. Brad cuts the small rectangular left. How wide a strip does Glenn cut so that

Question 324734: Glenn cuts half a rectangular lawn, 40m by 30m, by mowing strips of equal width around the perimeter. Brad cuts the small rectangular left. How wide a strip does Glenn cut so that they share the work equally? I need to solve using the quadratic formula.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Since Glenn cuts a strip

meters wide all the way around, each of the dimensions of the rectangle left for Brad is the original dimension reduced by

. The entire lawn area is 30 times 40 meters or 1200 square meters. That means we need to choose

so that Brad's piece which measures

is half of that area or 600 square meters.

Expand the binomials, put the equation in standard form, and then solve the resulting quadratic for

.

John

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