SOLUTION: The height of triangle is 4m more than twice the length of the base. The area of the triangle is 24m2. Find the height of the triangle?

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Question 797701: The height of triangle is 4m more than twice the length of the base. The area of the triangle is 24m2. Find the height of the triangle?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
h for height, b for base.
Given by description, h=b%2B4.
Area is %281%2F2%29bh=24 formula and other part of description.

%281%2F2%29b%28b%2B4%29=24
b%28b%2B4%29=48
b%5E2%2B4b=48
b%5E2%2B4b-48=0

Using quadratic formula positive solution,
b=%28-4%2Bsqrt%28208%29%29%2F2
highlight%28b=-2%2Bsqrt%2826%29%29