Question

The area of a triangular sign is 6x² + 24x What is the measure of the base? (View attachment)

Answer 1

`2x + 8`

Explanation:

Area of triangle equal

`(b * h)/(2) = a`

where b is the base and h is the height.

Plug in what we know.

`(b * 6x)/(2) = 6 {x}^(2) + 24x`

Multiply 2 by both sides.

`b * 6x = 2(6 {x}^(2) + 24x)`

Divide 6x by both sides.

`b = \frac{12 {x}^(2) + 48x }{6x} = 2x + 8`