Solve for X: Rectangle Area 27 with Side Length 3X

The area of the rectangle is equal to 27.

AC = 3

AB = 3X

Calculate X.

272727333AAABBBDDDCCC3X

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:08 Let's find the value of X. Are you ready?
00:12 To calculate the area of a rectangle, multiply the width, A B, by the length, A C.
00:18 Now, substitute the given numbers into the formula and solve for X.
00:23 And that's how we find the solution. Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

The area of the rectangle is equal to 27.

AC = 3

AB = 3X

Calculate X.

272727333AAABBBDDDCCC3X

2

Step-by-step solution

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

Let's insert the known data into the formula:

27=3×3x 27=3\times3x

27=9x 27=9x

Lastly let's divide both sides by 9:

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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