# Area and perimeter of rectangles

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##### 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?
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##### 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?
###### 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