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

00:00 Find X
00:03 The formula for calculating the area of a rectangle is width(AB) multiplied by length(AC)
00:06 Let's substitute appropriate values according to the given data and solve for X
00:14 And this is the solution to the question

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