SOLUTION: A rectangle has an area of 36 cm^2. The length is 1 cm less than twice the width. Find the dimensions of the rectangle.

Question 829242: A rectangle has an area of 36 cm^2. The length is 1 cm less than twice the width. Find the dimensions of the rectangle.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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a = xy = 36
y = 2x - 1
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a = xy = 36
a = x(2x - 1) = 36
a = 2xx - x - 36 = 0
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the above quadratic equation is in standard form, with a=2, b=-1, and c=-36
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
2 -1 -36
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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answer:
x = 4.5
x = -4
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the negative root doesn't fit the problem statement, so use the positive root:
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x = 4.5
y = 2(4.5) - 1
y = 8
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answer:
x = width = 4.5 cm
y = length = 8 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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