lesson 19 computing actual areas from a scale drawing

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Lesson 19 Computing Actual Areas from a Scale Drawing

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Page 1: Lesson 19 Computing Actual Areas from a Scale Drawing

Lesson 19Computing Actual Areas from a Scale

Drawing

Page 2: Lesson 19 Computing Actual Areas from a Scale Drawing

Review

What is the difference between scale and scale factor?

Page 3: Lesson 19 Computing Actual Areas from a Scale Drawing

Examples 1–3: Exploring Area Relationships

Use the diagrams below to find the scale factor and then find the area of each figure.

Example 1

Scale factor: _________ Actual Area = ______________   Scale Drawing Area = ________________ Ratio of Scale Drawing Area to Actual Area: _________

Page 4: Lesson 19 Computing Actual Areas from a Scale Drawing

Example 2

Scale factor: _________

Actual Area = ______________   Scale Drawing Area = ________________ Ratio of Scale Drawing Area to Actual Area: _________

Page 5: Lesson 19 Computing Actual Areas from a Scale Drawing

Example 3

Scale factor: _________ Actual Area = ______________   Scale Drawing Area = ________________ Ratio of Scale Drawing Area to Actual Area: _________ 

Page 6: Lesson 19 Computing Actual Areas from a Scale Drawing
Page 7: Lesson 19 Computing Actual Areas from a Scale Drawing

Why do you think it is squared as opposed to cubed or something else?

How might you use this information I working with scale drawings?

Suppose a rectangle has an area of 12 square m. If it is enlarged by a scale factor of three, what area would you predict the enlarged rectangle to have based on what you just concluded?

Page 8: Lesson 19 Computing Actual Areas from a Scale Drawing
Page 9: Lesson 19 Computing Actual Areas from a Scale Drawing