area of parallelograms, trapezoids, and graphed shapes lesson 7.3a m.3.g.2 apply, using appropriate...

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Area of Parallelograms, Trapezoids, and Graphed Shapes Lesson 7.3A M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume) to solve application problems involving polygons, prisms, pyramids, cones, cylinders, spheres as well as composite figures, expressing solutions in both exact and approximate forms

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Page 1: Area of Parallelograms, Trapezoids, and Graphed Shapes Lesson 7.3A M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface

Area of Parallelograms, Trapezoids, and Graphed ShapesLesson 7.3AM.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume) to solve application problems involving polygons, prisms, pyramids, cones, cylinders, spheres as well as composite figures, expressing solutions in both exact and approximate forms

Page 2: Area of Parallelograms, Trapezoids, and Graphed Shapes Lesson 7.3A M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface

Area of a Parallelogram

The formula for a rectangle works for any parallelogram.

Formula for area of a parallelogram:

A = bh

Page 3: Area of Parallelograms, Trapezoids, and Graphed Shapes Lesson 7.3A M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface

Example

Find the area of the given parallelogram

4'

9’

5'

Page 4: Area of Parallelograms, Trapezoids, and Graphed Shapes Lesson 7.3A M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface

Now You Try…

Find the area of the given parallelogram

5cm

3cm

8 cm

Page 5: Area of Parallelograms, Trapezoids, and Graphed Shapes Lesson 7.3A M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface

Trapezoids

Formula for area of a trapezoid:

2

21 bbhA

13

54

7

Page 6: Area of Parallelograms, Trapezoids, and Graphed Shapes Lesson 7.3A M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface

Example

Find the area of the given trapezoid.5 ft

10 ft

7.8 ft6 ft

Page 7: Area of Parallelograms, Trapezoids, and Graphed Shapes Lesson 7.3A M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface

Example

Find the area of the given trapezoid.

6012 cm

4 cm

Page 8: Area of Parallelograms, Trapezoids, and Graphed Shapes Lesson 7.3A M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface

Now You Try…

Find the area of the given trapezoid.

9.2 m

7 m

4 m10 m

Page 9: Area of Parallelograms, Trapezoids, and Graphed Shapes Lesson 7.3A M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface

Now You Try…

Find area of the given isosceles trapezoid.

45

24 yd

25 yd

Page 10: Area of Parallelograms, Trapezoids, and Graphed Shapes Lesson 7.3A M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface

Area of Graphed Shapes

Find the area of the given shape.

5-5 -1-2-3-4 1 2 3 4

1

2

3

4

5

-1

-2

-3

-4

-5