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

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

AC = 4

AB = X + 5

Calculate X.

282828444AAABBBDDDCCCX+5

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1

Understand the problem

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

AC = 4

AB = X + 5

Calculate X.

282828444AAABBBDDDCCCX+5

2

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

3

Final Answer

2

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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