SOLUTION: Hello! Have a tough word problem on my algebra 2 homework... I would love if you could please help me! Here it is: A triangle has an area of 4x^2 +35x +24 square centimeters.

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Question 857255: Hello! Have a tough word problem on my algebra 2 homework... I would love if you could please help me! Here it is:
A triangle has an area of 4x^2 +35x +24 square centimeters. If the height of the triangle is x+8, find the length of the base.
If you could help me out that would be very helpful
Thanks!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a triangle is A=%281%2F2%29bh.
%281%2F2%29b%28x%2B8%29=4x%5E2%2B35x%2B24
b%28x%2B8%29=2%284x%5E2%2B35x%2B24%29
You can factor the right hand side,
b%28x%2B8%29=2%284x%2B3%29%28x%2B8%29%29
b=2%284x%2B3%29%29