Rectangle Area Problem: Solve for X When 3(2X + 2) = 24

The area of the rectangle below is equal to 24.

AC = 3

AB = 2X + 2

Calculate X.

242424333AAABBBDDDCCC2X+2

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1

Understand the problem

The area of the rectangle below is equal to 24.

AC = 3

AB = 2X + 2

Calculate X.

242424333AAABBBDDDCCC2X+2

2

Step-by-step solution

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

Let's present the known data:

24=3×(2x+2) 24=3\times(2x+2)

24=6x+6 24=6x+6

We'll move 6 to the left side and maintain the appropriate sign:

246=6x 24-6=6x

18=6x 18=6x

We'll divide both sides by 6:

x=3 x=3

3

Final Answer

3

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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