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

Question

The area of the rectangle below is equal to 50.

AC = 5

AB = 4X

Calculate X.

505050555AAABBBDDDCCC4X

Video Solution

Solution Steps

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 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

Answer

2.5