SOLUTION: 85 square feet of area height is three feet less than twice the base find base and height

Algebra ->  Rectangles -> SOLUTION: 85 square feet of area height is three feet less than twice the base find base and height      Log On


   

Question 385225: 85 square feet of area height is three feet less than twice the base find base and height
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
85 square feet of area height is three feet less than twice the base find base and height
..
base =b
height h = 2b-3
..
1/2 * base * height = Area of triangle
1/2 *b*(2b-3)=85
multiply by 2
b(2b-3)=170
2b^2-3b=170
2b^2-3b-170=0
2b^2-20b+17b-170=0
2b(b-10)+17(b-10)=0
(b-10)(b+17)=0
%28highlight%28b=+10%29%29 feet- the base
...
height = 2b-3= 2*10-3
height%28highlight%28h+=17%29%29feet
...
m.ananth@hotmail.ca