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

The width of a rectangle is equal to2x 2x cm and its length is 2x−8 2x-8 cm.

Calculate the area of the rectangle.

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Step-by-step video solution

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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

Step-by-step written solution

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1

Understand the problem

The width of a rectangle is equal to2x 2x cm and its length is 2x−8 2x-8 cm.

Calculate the area of the rectangle.

2

Step-by-step solution

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

Let's input the known data into the formula:

S=2x×(2x−8) S=2x\times(2x-8)

S=2x×2x−2x×8 S=2x\times2x-2x\times8

S=4x2−16x S=4x^2-16x

3

Final Answer

4X2−16X 4X^2-16X

Practice Quiz

Test your knowledge with interactive questions

Look at the rectangle ABCD below.

Side AB is 6 cm long and side BC is 4 cm long.

What is the area of the rectangle?
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