Area of Polygons

Area of Polygons

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Before we begin

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Today we will develop strategies for finding the area of trapezoids and will apply their strategies to find the area of a complex shape.

Open Ended

What is a polygon?

Polygon

A polygon is a figure with at least three straight sides and angles, and typically five or more.

Multiple Choice

Which one of these images show perpendicular lines?

Multiple Choice

What angle do perpendicular lines make?

• 65 degrees

• 91 degrees

• 180 degrees

• 90 degrees

Multiple Choice

How do you find the area of a parallelogram?

• base x base

• base x height x width

• base x height

• base x height divided by 2

Multiple Choice

Find the area of this parallelogram (you may have to click on the image to enlarge it)

• 28 units squared

• 28

• 35 units squared

• 21 units squared

Multiple Choice

What is the formula for finding the area of a triangle?

• base x height divided by 3

• base x height divided by 2

• base x height

• base x height x 2

Multiple Choice

What is the height of this triangle?

• 9

• 4

• 5

• 12

Multiple Choice

What is the area of this triangle?

• 48 units squared

• 24 units squared

• 60 units squared

• 36 units squared

Multiple Choice

What is the area of this triangle?

• 24 m

• 70 meters squared

• 140

• 140 meters squared

Multiple Select

How do you feel with finding the area of parallelograms and triangles?

• Great!

• In the middle

• NOT GOOD

Open Ended

What are the characteristics of a trapezoid?

Trapezoid

• A plane figure (flat)

• A closed figure (it has an interior and exterior)

• A polygon (straight sides)

• A quadrilateral (four straight sides)

Formula for finding the area of a trapezoid

(base 1 + base 2) x height divided by 2

Multiple Choice

What is the area of the trapezoid?

• 56 units squared

• 28 units squared

• 38 units squared

• 49 units squared

Multiple Choice

What is the area of this trapezoid?

• 66 units squared

• 42 units squared

• 132 units squared