Chapter 11, Problem 22CR

To determine

To Find: The area of smaller polygon.

Answer to Problem 22CR

  $75sq.units$

Explanation of Solution

Given: Two similar polygons have scale factor $7:5$ . The area of larger polygon is $147$ .

Given: scale factor= $7:5$

We know that if two figures are similar then the ratio of area is equal to the square of its scale factor.

Thus

  $\begin{array}{l}Ratioofarea\\ \frac{A_l}{A_s}=\frac{7^2}{5^2}\\ \frac{147}{A_s}=\frac{49}{25}\\ A_s=\frac{147(25)}{49}\\ A_s=75sq.units\end{array}$

Hence, area of smaller polygon is $75sq.units$ .