Question 928504
LW = 6076
L = 6076/W
2L + 2W = 320
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2L + 2W = 320
2(6076/W) + 2W = 320
2*6076/W = 320 - 2W
12152 = W(320 - 2W)
12152 = 320W - 2WW
2WW - 320W + 12152 = 0
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the above quadratic equation is in standard form, with a=2, b=-320 and c=12152
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
2 -320 12152
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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the quadratic has two real roots at:
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W = 98
W = 62
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either root will work for W, but because W is typically less than L, let's use W = 62:
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L = 6076/W
L = 6076/62
L = 98
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answer:
W = 62
L = 98
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