Question

I forgot how i solved this, what im getting is 4x -24 which is wrong

Answer 1

`(4x^2+22x-12)cm^2`

Explanation:

From the given figure:

• The base of the triangle, b = (4x-2) cm

,

• The perpendicular height, h = (2x+12) cm

The area of a triangle is calculated using the formula:

`A=(1)/(2)bh`

Substitute the given expressions:

`\begin{gathered} A=(1)/(2)(4x-2)(2x+12) \\ Factor\text{ }4x-2\implies4x-2=2(2x-1) \\ A=(1)/(2)*2(2x-1)(2x+12) \\ A=(2x-1)(2x+12) \end{gathered}`

Next, open the brackets:

`\begin{gathered} A=2x(2x+12)-1(2x+12) \\ =4x^2+24x-2x-12 \\ =(4x^2+22x-12)cm^2 \end{gathered}`

The area of the triangle is:

`(4x^2+22x-12)cm^2`