Answer:
The area of the rectangle A = 25x² - 20x
Step-by-step 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
[tex]A = wl[/tex]
substitute w = 5x - 4 and l = 5x in the formula
[tex]A = (5x-4) (5x)[/tex]
Apply distributive law: a(b-c) = ab - ac
[tex]=\left(5x\right)\cdot \:5x-\left(5x\right)\cdot \:4[/tex]
[tex]=5x\left(5x\right)-4\left(5x\right)[/tex]
as 5x(5x) = 25x² and 4(5x) = 20x, so
[tex]=25x^2-20x[/tex]
Therefore, the area of the rectangle A = 25x² - 20x
