Question 816932
h = 2b + 4
b = (h - 4)2
b = 2h - 8
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a = (1/2)bh = 35
bh = 70
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bh = 70
(2h - 8)h = 70
2h^2 - 8h - 70 = 0
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the above quadratic equation is in standard form, with a=2, b=-8, and c=-70
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to solve the quadratic equation, plug this:
2 -8 -70
into this: https://sooeet.com/math/quadratic-equation-solver.php
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the roots of the quadratic are:
h = 8.244998
h = -4.244998
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the negative root doesn't make sense for a length, so use the positive root:
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Answer: 
height = 8.244998 inches
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