SOLUTION: a)A triangle has a base of (4-x) cm and height of (2x+3) cm , what is the maximum area of the triangle? b) what value of x would produce the maximum area? Thanks so much in advan

Algebra ->  Test -> SOLUTION: a)A triangle has a base of (4-x) cm and height of (2x+3) cm , what is the maximum area of the triangle? b) what value of x would produce the maximum area? Thanks so much in advan      Log On


   

Question 841481: a)A triangle has a base of (4-x) cm and height of (2x+3) cm , what is the maximum area of the triangle?
b) what value of x would produce the maximum area?
Thanks so much in advance:)
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
We wish to maximize

The vertex of the parabola occurs at which is less than 4 (note that ) so x = 5/4 gives the maximum area. To find this area, substitute x = 5/4 (and divide by 2!).