Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 8 - Section 8.2 - Perimeter and Area of Polygons - Exercises - Page 370: 24a

Answer

$\frac{4}{25}$

Work Step by Step

The ratio of the areas of two similar triangles equals the square of the ratio of the lengths of any two corresponding sides; that is, $\frac{A1}{A2}$ = $(\frac{a1}{a2})^{2}$ It will be applicable to any polygon like square, recangle etc Given that the ratio of the length of the corresponding sides = $\frac{s1}{s2}$ = $\frac{2}{5}$ The ratio of $\frac{A1}{A2}$ = $(\frac{a1}{a2})^{2}$ = $(\frac{2}{5})^{2}$ = $\frac{4}{25}$
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