<PRE><B>Question 935035</B>
2L + 2w = 500
Lw = 14400
w = 14400/L
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2L + 2w = 500
2L + 2(14400/L) = 500
2L + 28800/L - 500 = 0
2LL - 500L + 28800 = 0
LL - 250L + 14400 = 0
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the above quadratic equation is in standard form, with a=1, b=-250 and c=14400
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 -250 14400
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the quadratic has two real roots at:
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L = 160
L = 90
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the larger root makes better sense as a length rather than a width:
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L = 160
w = 14400/L
w = 14400/160
w = 90
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answer:
L = 160 ft
w = 90 ft
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