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What are the following formulas?
Area of a Square:Area of a Rectangle:Area of a Parallelogram:Area of a Triangle: Area of a Trapezoid:Area of a Circle:
Area of Parallelograms
Learning Objectives:• Find the area of parallelograms.• Apply formulas to solve real-world and mathematical problems.
Area of Parallelograms
The Area of a figure is the number of square units it encloses.
On your graph paper, draw a rectangle 8 units long and 6 units high. How many square units are enclosed by your rectangle?
How did you determine you answer? - count the square inside the rectangle?
The formula to find the area of a rectangle is base x height or A = bh.
Area of Parallelograms
1. Find the area of the index card provided.
2. Draw a diagonal line from one vertex on the card to the opposite vertex. Cut your card along that line.
3. Use the two pieces to form a parallelogram that in not a rectangle. What is the area of your parallelogram?
What is the formula for the area of a parallelogram that is not a rectangle?
Area of Parallelograms
Find the area of each figure.1 m
10 cm
2 yd
2 ft
8 ft
7 ft
8 cm
6 cm 2 cm
Area of Circles
Formula for the Circumference of a Circle:2πr or πd
Formula for the Area of a Circle:πr²
Find the area of each figure:
Radius = 2cmDiameter= 2cm
Area of Composed Figures
Find the area of the below figure:
2 in
6 in
4 in
4 in
Wrapping Up
What you should know and be able to do:
• Find the areas of parallelograms.• Apply formulas to solve real-world and mathematical problems
•
Summary
• In Your Planner:• Homework: Page 524. Problems 1, 2, 4, 5, 8, 9, 11, 18, 25
STAR Testing – Next Wednesday