Find X in Rectangle: Solving with Perimeter of 18 and Side Length 3

If the rectangle below has a perimeter of 18.

Calculate X using the given data:

XXX333

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:08 Let's find the value of X.
00:11 Use the formula for the perimeter of a rectangle. That's two times the sum of its sides.
00:18 Now, put in the numbers from the problem. Solve for X.
00:22 Distribute the terms. Multiply each factor carefully.
00:32 Solve the multiplications one by one. Then add them up.
00:38 Next, we need to isolate X.
00:46 And that's how we solve the problem!

Step-by-step written solution

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1

Understand the problem

If the rectangle below has a perimeter of 18.

Calculate X using the given data:

XXX333

2

Step-by-step solution

Since we are given the perimeter, and in a rectangle opposite sides are equal, let's add up all the sides:

X+X+3+3=18 X+X+3+3=18

X+X+6=18 X+X+6=18

2X=18−6 2X=18-6

2X=12 2X=12

Let's divide both sides by 2:

X=6 X=6

3

Final Answer

6

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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