Find X in Rectangle Area: Solving When Area = 28 and Height = 4

Question

If the area of the rectangle below is equal to 28.

AC = 4

AB = X + 5

Calculate X.

282828444AAABBBDDDCCCX+5

Video Solution

Step-by-Step Solution

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

Let's present the known data:

28=4×(x+5) 28=4\times(x+5)

28=4x+20 28=4x+20

We'll move 20 to the left side and maintain the appropriate sign:

2820=4x 28-20=4x

8=4x 8=4x

Let's divide both sides by 4:

x=2 x=2

Answer

2