Unit 4 Chapter 6 Section 2 Area of a Parallelogram.notebook
Match each set of sides or angle measurements with the type of triangle it describes.
Bellringer:
1.
3 ft, 4 ft, 6 ft
2.
44, 46, 90 o
3.
February 22, 2016
Scalene
o
o
Right
o
o
30, 45, 105 o
Obtuse
4.
5 m, 9 m, 15 m
5.
8 in, 6 in, 8 in
Not a Triangle
Isosceles
Unit 4 Chapter 6 Section 2 Area of a Parallelogram.notebook
February 22, 2016
Unit 4
Chapter 6 Section 2
Area of a Parallelogram
Objective: To find the area of a parallelogram and to relate perimeter and area
Perimeter: the distance around a figure
Area: the space inside a figure
Parallelogram: quadrilateral with two pairs of parallel sides
b = base of parallelogram
h = height of parallelogram
a = side of parallelogram
Area of a Parallelogram: A = bh
Unit 4 Chapter 6 Section 2 Area of a Parallelogram.notebook
February 22, 2016
Examples:
Finding the Area of a Parallelogram
1) Find the area and perimeter of each parallelogram
a)
b)
16 in
12 cm
15 in
22 in
14 cm
8 cm
area = area = perimeter = perimeter = 2) Find area of each parallelogram.
a) b = 25 mi
h = 22 mi
b) b = 0.5 yd
h = 3.5 yd
Unit 4 Chapter 6 Section 2 Area of a Parallelogram.notebook
February 22, 2016
Relating Perimeter and Area
3) Melinda wants to plant a rectangular garden and put a fence around it. She has 34 ft of fencing and she wants the area of her garden to be as big as possible. Which dimensions should she use?
a) Length of 9 ft and width of 8 ft
b) Length of 10 ft and width of 7 ft
c) Length of 12 ft and width of 6 ft
d) Length of 14 ft and width of 5 ft
4) What is the perimeter of the rectangle?
5 cm
Area = 30 cm2
5) What is the area of the rectangle?
2 cm
Perimeter = 25 cm
Unit 4 Chapter 6 Section 2 Area of a Parallelogram.notebook
February 22, 2016
Closure
1) What is the formula for the area of a parallelogram?
2) Find the area for a parallelogram with b = 7 ft and h = 4 ft.
3) Find the area of the parallelogram below.
Unit 4 Chapter 6 Section 2 Area of a Parallelogram.notebook
February 22, 2016
Extension
A rectangular bedroom has a length of 15 feet
and a width of 12 feet.
12 feet
3 ft
15 feet
3 ft
1.) You want to carpet the bedroom. How much
carpet do you need?
2.) The carpet costs $9.50 per square foot. How
much will the carpet cost?
3.) You want to put baseboards around the
bedroom. How many feet of baseboard do you
need? (The 2 doorways are 3 feet wide. You
don't need baseboards there.)
4.) The baseboard costs $.30 per foot. How
much will the baseboards cost?
Unit 4 Chapter 6 Section 2 Area of a Parallelogram.notebook
February 22, 2016
Challenge
1) Three identical parallelograms are placed side by side. A diagonal connects opposite corners and forms two triangles with an area of 21ft2 each. What is the area of each parallelogram?
2) A backyard pool has a perimeter of 90 ft and an area of 500 ft2. What are the pool's length and width?
Unit 4 Chapter 6 Section 2 Area of a Parallelogram.notebook
Homework
Practice Worksheet 6­2
February 22, 2016