# Area and perimeter of rectangles

#### Everything You Need in One Place

Homework problems? Exam preparation? Trying to grasp a concept or just brushing up the basics? Our extensive help & practice library have got you covered.

#### Learn and Practice With Ease

Our proven video lessons ease you through problems quickly, and you get tonnes of friendly practice on questions that trip students up on tests and finals.

#### Instant and Unlimited Help

Our personalized learning platform enables you to instantly find the exact walkthrough to your specific type of question. Activate unlimited help now!

0/3
##### Intros
###### Lessons
1. Introduction to Area and Perimeter of Rectangles:
2. What are the basic properties of a rectangle?
3. How do you calculate the perimeter of a rectangle?
4. How do you calculate the area of a rectangle?
0/13
##### Examples
###### Lessons
1. Perimeter of Rectangles
Calculate the perimeter of each rectangle or square.

2. Area of Rectangles
Calculate the area of each rectangle or square.

3. Perimeter and Area of Compound Rectangles
Calculate the perimeter and area of each compound shape. Break down the complex shapes into components (rectangles) first!

4. Rectangles Word Problem - 1
Pizza boxes are usually square. If a pizza box has a perimeter of 61 inches, what does it measure on each side?
1. Rectangles Word Problem - 2
A book's cover has a perimeter of 36 inches. The longer side is 10 inches. What is the area of the book cover?
###### Free to Join!
StudyPug is a learning help platform covering math and science from grade 4 all the way to second year university. Our video tutorials, unlimited practice problems, and step-by-step explanations provide you or your child with all the help you need to master concepts. On top of that, it's fun - with achievements, customizable avatars, and awards to keep you motivated.
• #### Easily See Your Progress

We track the progress you've made on a topic so you know what you've done. From the course view you can easily see what topics have what and the progress you've made on them. Fill the rings to completely master that section or mouse over the icon to see more details.
• #### Make Use of Our Learning Aids

###### Suggested Tasks

Get quick access to the topic you're currently learning.

See how well your practice sessions are going over time.

Stay on track with our daily recommendations.

• #### Earn Achievements as You Learn

Make the most of your time as you use StudyPug to help you achieve your goals. Earn fun little badges the more you watch, practice, and use our service.
• #### Create and Customize Your Avatar

Play with our fun little avatar builder to create and customize your own avatar on StudyPug. Choose your face, eye colour, hair colour and style, and background. Unlock more options the more you use StudyPug.
###### Topic Notes

In this lesson, we will learn:

• The basic properties of the shape of the rectangle
• How to understand and calculate the perimeter of a rectangle
• How to understand and calculate the area of a rectangle

Notes:

• A rectangle is a 2D (two-dimensional) shape with 4 straight sides and 4 right angles (90°)
• Each pair of sides (across from each other) are the exact same length

• A square is a special type of rectangle where all side lengths are the same

• The perimeter is the exact distance around the shape.
• Perimeter is a 1D (one-dimensional) quantity
• It uses units such as meters (m, cm, mm, km), miles (mi), yards (yd), or inches and feet (in and ft)

• For rectangles, the formula is written as:
• Prectangle = $(2 \, \times \, l) + (2 \, \times \, w)$
• Where $l$ is length, and w is width

• For squares, the formula is written as:
• Prectangle = $4 \, \times \, s$
• Where $s$ is side length

• The area is the space that is covered by the shape.
• Area is a 2D (two-dimensional) quantity
• It uses squared units such as square meters (m2, cm2, mm2, km2), square miles (mi2), square yards (yd2), or square inches and feet (in2 and ft2)

• For rectangles, the formula is written as:
• Arectangle = $l \, \times \, w$
• Where $l$ is length, and w is width

• For squares, the formula is written as:
• Asquare = $s \, \times \, s \, = \, S^{2}$
• Where $s$ is side length