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=(1)/(2)bh`

Where:

b = 6x

h = 15x - 4

Thus, we have:

`\begin{gathered} A=(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`