Calculate Rectangle Area with Dimensions 2x and (2x-8): Variable Expression Problem

Question

The width of a rectangle is equal to $2x$ cm and its length is $2x-8$ cm.

Calculate the area of the rectangle.

00:00 Calculate the area of the rectangle

00:03 Apply the formula for calculating the area of a rectangle (side x side)

00:09 Substitute the relevant values into the formula according to the given data and proceed to solve for the area

00:13 Expand the brackets properly - multiply each factor

00:26 This is the solution

The area of a rectangle is equal to length multiplied by width

Let's input the known data into the formula:

$S=2x\times(2x-8)$

$S=2x\times2x-2x\times8$

$S=4x^2-16x$

$4X^2-16X$