Solve for X: Rectangle Perimeter 26 with Sides (X+2) and (X+3)

Look at the following rectangle:

AAABBBCCCDDDX+3X+2

The perimeter of the rectangle is 26.

Calculate the value of X.

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Calculate the value of X
00:05 Opposite sides are equal in a rectangle
00:26 The perimeter of the rectangle equals the sum of its sides
00:39 Substitute in the relevant values according to the given data and solve for X
01:06 Collect like terms
01:22 Isolate X
01:36 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Look at the following rectangle:

AAABBBCCCDDDX+3X+2

The perimeter of the rectangle is 26.

Calculate the value of X.

2

Step-by-step solution

Since in a rectangle every pair of opposite sides are equal, we can claim that:

AD=BC=x+2 AD=BC=x+2

AB=CD=x+3 AB=CD=x+3

Since the perimeter of the rectangle is equal to 26, we can substitute the data into the formula:

26=x+2+x+3+x+2+x+3 26=x+2+x+3+x+2+x+3

26=4x+10 26=4x+10

2610=4x 26-10=4x

16=4x 16=4x

Let's divide both sides by 4:

4=x 4=x

3

Final Answer

4

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

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Rectangles questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations