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Pearson Geometry Common Core, 2011

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Pearson Geometry Common Core, 2011 View details

4. Perimeters and Areas of Similar Figures

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Exercise 14 Page 638

If the scale factor of two similar figures is $\frac{a}{b},$ then the ratio of their areas is $\frac{a ^{2}}{b ^{2}} .$

$54 m^{2}$

Practice makes perfect

If the scale factor of two similar figures is $\frac{a}{b},$ then the ratio of their areas is $\frac{a ^{2}}{b ^{2}} .$ With this in mind, consider the given similar figures. Let $x$ be the area of the smaller isosceles trapezoid.

We have two corresponding sides of similar figures that measure

12

meters and

18

meters. Let's find the scale factor.

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Subchapter links

Lesson Check p.638

Practice and Problem-Solving Exercises p.638-641

Standardized Test Prep p.641

Mixed Review p.641