Advance function

Question

The area of a triangular shaped wall i (15x^2 + 16x - 7) m^2. The base of the wall is (5x + 7) m long. How tall is the wall?

Answer 1

First, remember that the area of a triangle is A=1/2B*H, where A is Area, B is Base, and H is Height. Since you already have the Area and the Base, you can find the height.

A=1/2B*H
A/B=(1/2)*H
2(A/B)=H

This means that two times the ratio of Area divided by Base will give you height. So you can plug in your values from the problem.

H=(15x²+16x-7)/(5x+7)

Now, you can simplify the numerator a bit:

H=(7(3x-1)+5x(3x-1))/(5x+7)
H=[(3x-1)(5x+7)]]/(5x+7)

H=3x-1

So your height is simply 3x-1. To get a precise number, you need to plug in a value for x, but I do not see anything regarding that in your instructions.

Hope this helps!