Question

Select the correct answer.

Answer 1

Answer:

A. 5x^2 - 2x - 12 = 0

Step-by-step explanation:

The base is x feet.

The height is 2 less that 5 times the base.

The height is 5x - 2.

The area is 12.

The area is base * height / 2.

area = bh/2

area = x * (5x - 2) = 12

5x^2 - 2x = 12

5x^2 - 2x - 12 = 0

Answer 2

Answer:

${5x}^{2} - 2x - 24 = 0$

Step-by-step explanation:

$area \: a = \frac{base \times height}{2} = \frac{bh}{2}$

let b = x and h = (5x - 2) then

$a = \frac{x(5x - 2)}{2} = 12 {ft}^{2} \\ a = \frac{ {5x}^{2} - 2x}{2} = 12 {ft }^{2} \\ a = 2 \times \frac{ {5x}^{2} - 2x}{2} = 12 {ft}^{2} \times 2 \\ a = {5x}^{2} - 2x = 24 {ft}^{2} \\ a = {5x}^{2} - 2x - 24 = 0$