Question

The width of the rectangle is 5x-4. The length of the rectangle is 5

What is the simplified expression for the area of the rectangle?

Answer 1

The area of the rectangle A = 25x² - 20x

Explanation:

Given

The width of the rectangle = w = 5x - 4

The length of a rectangle = l = 5x

To determine

The area of the rectangle = ?

Using the Formula to determine the area of the rectangle

`A = wl`

substitute w = 5x - 4 and l = 5x in the formula

`A = (5x-4) (5x)`

Apply distributive law: a(b-c) = ab - ac

`=\left(5x\right)\cdot \:5x-\left(5x\right)\cdot \:4`

`=5x\left(5x\right)-4\left(5x\right)`

as 5x(5x) = 25x² and 4(5x) = 20x, so

`=25x^2-20x`

Therefore, the area of the rectangle A = 25x² - 20x