# Area and perimeter of rectangles

### Area and perimeter of rectangles

#### Lessons

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
• Introduction
Introduction to Area and Perimeter of Rectangles:
a)
What are the basic properties of a rectangle?

b)
How do you calculate the perimeter of a rectangle?

c)
How do you calculate the area of a rectangle?

• 1.
Perimeter of Rectangles
Calculate the perimeter of each rectangle or square.
a)

b)

c)

d)

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

b)

c)

d)

• 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!
a)

b)

c)

• 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?

• 5.
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?