Question 120938
The length of a rectangle is 1 cm more than 5 times its width.  If the area of the rectangle is 79 cm2, find the dimensions of the rectangle to the nearest thousandth.
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Formula: Area = (length)*(width)
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Let the width be "x" cm. ; Then length = "5x+1" cm.
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Your Problem:
79 cm^2 = (5x+1)*x
79 = 5x^2+x
5x^2+x-79=0
x = [-1 +- sqrt(1-4*5*-79)]/10
x = [-1 +- sqrt(1581)]/10
x = [-1 +- 39.7618]/10
x = 3.8762 cm (The width of the rectangle)
5x+1 = 20.3809 cm (The length of the rectangle)
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Cheers,
Stan H.
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