Posted by Anonymous on Tuesday, November 30, 2010 at 4:59pm.
Let the length be y ft and the width be x ft.
(I am looking at 2 widths and 1 length)
so y + 2x = 1280
y = 1280-2x
Area = xy
= x(1280-2x)
= - 2x^2 + 1280x
complete the square ....
Area = - 2(x^2 - 640x + 102400 - 102400)
= - (x - 320)^2 + 204800
so x = 320 , then y = 1280-640 = 640
the width is 320 ft, and the length is 640 ft
3rd last line should say
= -2(x - 320)^2 + 204800
typo at the -2 in front, does not affect the answer.
dimensions: 320x640
max. area 204800
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