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Big Ideas Math: Modeling Real Life, Grade 8

BI

Big Ideas Math: Modeling Real Life, Grade 8 View details

7. Perimeters and Areas of Similar Figures

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Exercise 5 Page 85

The ratio of the areas is the same as the ratio of the corresponding side lengths squared.

9/4

Practice makes perfect

Let's start by considering the given similar figures.

Similar parallelograms: The red one has a side of 12 units, and the corresponding side in the blue parallelogram is 8 units.

In the given similar figures, the lengths of two corresponding sides are 12 and 8. Therefore, we can say that the ratio between the corresponding side lengths is 12 8. Let's simplify this ratio.

12/8

a/b=.a /4./.b /4.

3/2

The simplified ratio between the corresponding side lengths is 32. In similar figures, the ratio of the areas is the same as the ratio of the corresponding side lengths squared.

Ratio of Corresponding Side Lengths	3/2
Ratio of Areas	3^2/2^2 ⇔ 9/4

Subchapter links

Try It p.84-85

Self-Assessment for Concepts & Skills p.85

Self-Assessment for Problem Solving p.86

Review & Refresh p.87

Concepts, Skills, & Problem Solving p.87-88