Question 815516
original rectangle:
a = 6 * 4 = 24
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new rectangle:
A = (6 + n)(4 + n) = 50
(6 + n)(4 + n) = 50
24 + 10n + nn = 50
nn + 10n - 26 = 0
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the above quadratic equation is in standard form, with a=1, b=10, and c=-26
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to solve the quadratic equation, plug this:
1 10 -26
into this: https://sooeet.com/math/quadratic-equation-solver.php
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the roots of the quadratic are:
2.14142843
-12.1414284
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the negative root doesn't make sense for a length, so use the positive root:
n = 2.14142843 meters
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Answer:
new rectangle dimensions:
a = 6.1 m
b = 8.1 m
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