# Math Help - maximum and minimum word problem

1. ## maximum and minimum word problem

I can't find anything online to help me with this one, hopefully someone can help.

The base of a triangle is 5m less than twice the height. If the area is 90m(squared) how long is the base and height?

2. ## Re: maximum and minimum word problem

Let h be the height. Then the base is 2h-5. Area = (1/2)base*height, so

$\frac{1}{2}h(2h-5) = 90$

Solve for h.