Solve for X: Rectangle Area 30 with Side Length 2X and Height 3

Question

The area of the rectangle below is equal to 30.

AC = 3

AB = 2X

Calculate X.

333AAABBBDDDCCC2X30

Video Solution

Solution Steps

00:00 Find X
00:03 The formula for calculating rectangle area is width(AB) multiplied by length(AC)
00:06 Let's substitute appropriate values according to the given data and solve for X
00:11 And this is the solution to the problem

Step-by-Step Solution

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

We begin by inserting the given data into this formula:

30=3×2x 30=3\times2x

30=6x 30=6x

Lastly we divide both sides by 6:

x=5 x=5

Answer

5