Chapter 0.6, Problem 7E

To determine

To evaluate: the value of x and y from the given figures.

Answer to Problem 7E

The value of x = 8 and y = 21.

Explanation of Solution

Given information:

It is given that two figures are similar,

  

In the given question, there are two figures, and they are similar,

So, the ratio of their corresponding sides is equal,

Finding ‘x’

  $\begin{array}{l}\frac{x}{12}=\frac{6}{9}\\ x=\frac{12\times 6}{9}\\ x=8\end{array}$

Finding ‘y’

  $\begin{array}{l}\frac{y}{14}=\frac{9}{6}\\ y=\frac{14\times 9}{6}\\ y=21\end{array}$

So,

The value of x = 8 and y = 21.