Solve for X: Rectangle Area 48 with Height 4 and Width 2X

The area of the rectangle below is equal to 48.

AC = 4

AB = 2X

Calculate X.

484848444AAABBBDDDCCC2X

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Determine the value of X
00:03 The formula for calculating the area of a rectangle is width(AB) multiplied by length(AC)
00:07 Substitute in the relevant values according to the given data and solve for X
00:14 This is the solution

Step-by-step written solution

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1

Understand the problem

The area of the rectangle below is equal to 48.

AC = 4

AB = 2X

Calculate X.

484848444AAABBBDDDCCC2X

2

Step-by-step solution

The area of the rectangle is equal to the length multiplied by the width.

Let's begin by presenting the known data:

48=4×2x 48=4\times2x

48=8x 48=8x

Lastly let's divide both sides by 8:

x=6 x=6

3

Final Answer

6

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?
666444AAABBBCCCDDD

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