SOLUTION: a=1/2bh 90 square units and height is x+2 and base is 5x+35. what is the base This is what ive got. 90= (1/2) (5x+35) (x+2) 5x^2 +45x +70 =180 x^2 +9x -110= 0

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: a=1/2bh 90 square units and height is x+2 and base is 5x+35. what is the base This is what ive got. 90= (1/2) (5x+35) (x+2) 5x^2 +45x +70 =180 x^2 +9x -110= 0      Log On


   

Question 1141520: a=1/2bh 90 square units and height is x+2 and base is 5x+35. what is the base
This is what ive got.
90= (1/2) (5x+35) (x+2)
5x^2 +45x +70 =180
x^2 +9x -110= 0
Found 3 solutions by josgarithmetic, ikleyn, greenestamps:
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
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a=1/2bh 90 square units and height is x+2 and base is 5x+35. what is the base
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Formula:
Area of triangle, %281%2F2%29bh
for base b and height h.


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If triangle has base 5x+35 and height x+2, and area is 90 square units, find value of base.
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highlight_green%28%281%2F2%29%285x%2B35%29%28x%2B2%29=90%29
Solve this for x, and evaluate 5x+35.


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%281%2F2%29%2A5%28x%2B7%29%28x%2B2%29=90
%281%2F2%29%28x%2B7%29%28x%2B2%29=18
%28x%2B7%29%28x%2B2%29=36
Thinking about possible integer factors of 36 differing by 5;
9%2A4=36
x%2B7=9 and x%2B2=4;
highlight_green%28x=2%29
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Now you evaluate 5x%2B35....

Answer by ikleyn(52754) About Me  (Show Source):
You can put this solution on YOUR website!
.

The third line in your calculation sheet is wrong.

I am not going to fix it for you, since 

        (a) your post has no question and you did not ask tutors to do it;  

    and

        (b) it is toooooo elementary, and you can easily do it on your own.


Happy calculations !


If you still have questions, do not hesitate to formulate them ! !



Answer by greenestamps(13195) About Me  (Show Source):
You can put this solution on YOUR website!


Take a look at your own work to see what you did wrong:

5x^2 +45x +70 =180
x^2 +9x -110= 0

Surely you can see what is wrong there....