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.Com
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) (Show Source): You can put this solution on YOUR website!
We wish to maximize (2x+3) = -2x^2 + 5x + 12)
The vertex of the parabola  = -2x^2 + 5x + 12)
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!).
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