SOLUTION: The height of a triangle is 4m more than twice the length of the base. the area is 35m2. I know that A=1/2BH, but I just can't put it into an equation to work it.

Algebra ->  Equations -> SOLUTION: The height of a triangle is 4m more than twice the length of the base. the area is 35m2. I know that A=1/2BH, but I just can't put it into an equation to work it.      Log On


   



Question 31270: The height of a triangle is 4m more than twice the length of the base. the area is 35m2. I know that A=1/2BH, but I just can't put it into an equation to work it.
Answer by troyapplehelen(46) About Me  (Show Source):
You can put this solution on YOUR website!
1. h=2b+4, and A=(1/2)b.h
=(1/2)b(2b+4)=35
A is (b^2)+(4b)=70
2(b^2) + 4b -70 =0
=b^2 +2b -35 =0
(b+7)(b-5) = 0 so, b is -7 or 5 but -7 is not exist in
length so we chose b=5 only.
then, ur area 35 = (1/2)5.14 works.