Solve for X: Rectangle with Area 50 and Length 4X

The area of the rectangle below is equal to 50.

AC = 5

AB = 4X

Calculate X.

505050555AAABBBDDDCCC4X

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:10 Let's find the value of X.
00:13 To calculate the area of a rectangle, multiply the width A B by the length A C.
00:18 Now, plug in the given values, and solve for X, step by step.
00:24 Great job! That's how we solve this problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

The area of the rectangle below is equal to 50.

AC = 5

AB = 4X

Calculate X.

505050555AAABBBDDDCCC4X

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:

50=5×4x 50=5\times4x

50=20x 50=20x

Let's finish by dividing both sides by 20:

x=2.5 x=2.5

3

Final Answer

2.5

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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