SOLUTION: The width of a rectangle is 3 cm less than the length. The area of the rectangle is 54 cm squared. Find the width and length.

Question 830093: The width of a rectangle is 3 cm less than the length. The area of the rectangle is 54 cm squared. Find the width and length.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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y = x - 3
xy = 54
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xy = 54
x(x - 3) = 54
xx - 3x - 54 = 0
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the above quadratic equation is in standard form, with a=1, b=-3, and c=-54
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 -3 -54
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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x = 9
x = -6
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the negative root doesn't fit the problem statement, so use the positive root:
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x = length = 9 cm
y = width = 6 cm
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Solve quadratic equations, quadratic formula:
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Solve systems of linear equations up to 6-equations 6-variables:
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