Question 324734
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Since Glenn cuts a strip *[tex \Large x] meters wide all the way around, each of the dimensions of the rectangle left for Brad is the original dimension reduced by *[tex \Large 2x].  The entire lawn area is 30 times 40 meters or 1200 square meters.  That means we need to choose *[tex \Large x] so that Brad's piece which measures *[tex \Large 30\ -\ 2x] by *[tex \Large 40\ -\ 2x] is half of that area or 600 square meters.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ (30\ -\ 2x)(40\ -\ 2x)\ =\ 600]


Expand the binomials, put the equation in standard form, and then solve the resulting quadratic for *[tex \Large x].


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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