Question

What simplified algebraic expression represents the area of a triangle whose height is 15x - 4 and whose base is 6x?

Answer 1

Given:

Height of triangle, h = 15x - 4

Base of triangle, b = 6x

Let's find the area of the triangle.

To find the area of the triangle, apply the formula:

$A=\frac{1}{2}bh$

Where:

b = 6x

h = 15x - 4

Thus, we have:

$\begin{gathered} A=\frac{1}{2}\ast6x\ast(15x-4) \\ \\ A=3x\ast(15x-4) \end{gathered}$

Apply distributive property:

$\begin{gathered} A=3x(15x)+3x(-4) \\ \\ A=45x^2-12x \end{gathered}$

Therefore, the simplified algebraic exression which represents the area of the traingle is:

$45x^2-12x$

ANSWER:

$45x^2-12x$