Question 677979
a = lw = 72
l = x+4
w = 5x+2
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(x+4)(5x+2) = 72
{{{5x^2 + 2x + 20x + 8 = 72}}}
{{{5x^2 + 22x - 64 = 0}}}
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Quadratic Equation
x = {{{(-22 +- sqrt(22^2-4(5)(-64)))/2(5)}}}}
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x = {{{(-22 +- sqrt(484+1280))/10}}}
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x = {{{(-22 +- sqrt(1764))/10}}}
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x = {{{(-22 +-42)/10}}}
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x = {{{(-22+42)/10 = 20/10 = 2}}}
Or
x = {{{(-22-42)/10 = -64/10 = -6.4}}} --> don't use the negative because dimensions cannot be negative.
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l = x+4 = 2+4 = {{{highlight_green(l=6)}}} ft
w = 5x+2 = 5(2)+2 = 10+2 = {{{highlight_green(w=12)}}} ft
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Check 6*12 = 72
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