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 We'll use the formula for calculating rectangle area (side times side)

00:09 We'll substitute appropriate values according to the given data and solve for the area

00:13 We'll expand brackets properly - multiply each factor

00:26 And this is the solution to the question

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

Let's input the known data into the formula:

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

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

$S=4x^2-16x$

$4X^2-16X$