SOLUTION: One side of a rectangle is 8 cm longer than the other. The area of the rectangle is 20 cm^2.
If x cm is the length of one side, show this information as a quadratic equation and t
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Question 823251: One side of a rectangle is 8 cm longer than the other. The area of the rectangle is 20 cm^2.
If x cm is the length of one side, show this information as a quadratic equation and then solve it. Hence, state the length of each side.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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x = y + 6
xy = 20
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xy = 20
(y + 6)y = 20
yy + 6y - 20 = 0
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the above quadratic equation is in standard form, with a=1, b=6, and c=-20
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 6 -20
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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this quadratic has two real roots (the x-intercepts), which are:
y = 2.38516481
y = -8.38516481
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negative length doesn't make sense for this problem, so use the positive root
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answer:
w = 2.38516481 cm
L = 8.38516481 cm
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Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
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Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
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Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
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