Base of a triangle is 12 inches longer than twice the length of altitude x. Write polynomial area of triangle.
area= b*x
b= 2x+12
area= 2x^2+12x
Thanks!
To write the polynomial area of a triangle, we need to know the lengths of the base and altitude of the triangle.
Given that the base of the triangle is 12 inches longer than twice the length of altitude x, we can express the length of the base as 2x + 12.
The formula for the area of a triangle is 1/2 * base * altitude.
Substituting the given values into the formula, we get:
Area = 1/2 * (2x + 12) * x
Now, we can simplify the expression and write it as a polynomial:
Area = 1/2 * (2x^2 + 12x)
Area = x^2 + 6x
So, the polynomial area of the triangle is x^2 + 6x.