SOLUTION: the area of a triangle is {{{3x^2+6x}}} if the height is 3x+6, what is the measure of the base?

Algebra ->  Triangles -> SOLUTION: the area of a triangle is {{{3x^2+6x}}} if the height is 3x+6, what is the measure of the base?      Log On


   

Question 289707: the area of a triangle is 3x%5E2%2B6x if the height is 3x+6, what is the measure of the base?
Answer by j1mmy94(14) About Me  (Show Source):
You can put this solution on YOUR website!
We have to use the area of a triangle formula, which is +A=%28h%2Ab%29%2F2+
Using the information we are given, we can substitute the numerical values.
The area: +3x%5E2%2B6x+
Height: +3x%2B6+
Base: Is unknown so we can leave it as a variable b
After substituting:
The formula now becomes +3x%5E2%2B6x=%283x%2B6%2Ab%29%2F2+
Multiply 2 on both sides: +6x%5E2%2B12x=3x%2B6%2Ab+
Divide +3x%2B6+ on both sides: +2x=b+
Answer: The base is 2x
Check: +3x%5E2%2B6x=%283x%2B6%2A2x%29%2F2+
+3x%5E2%2B6x=%286x%5E2%2B12x%29%2F2+
+3x%5E2%2B6x=3x%5E2%2B6x+
Both sides are the same, therefore the answer is correct! I hope this helps! :]