Question

Answer in terms of X

Answer 1

6x + 2 m

Explanation:

Given:

A (area) = (24x^2 + 8x) m^2

l (side length) = 4x m

Find: b (base) - ?

In order to find the base of the rectangle, you have to divide its area by the side length:

`b = \frac{24 {x}^(2) + 8x}{4x} = (4x(6x + 2))/(4x) = 6x + 2`

Answer 2

base = 6x + 2 m

Explanation:

the area (A) of a rectangle is calculated as

A = base × width

given A = 24x² + 8x and width = 4x , then

24x² + 8x = base × 4x (divide both sides by 4x )

`(24x^2+8x)/(4x)` = base

`(24x^2)/(4x)` +
`(8x)/(4x)` = base , then

base = 6x + 2 m