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

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

$A = wl$

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