Question

Find the value of z.
80
3
15
24
50
3

Answer 1

Answer: The value of z is
`(50)/(3)` .

Explanation:

From the given picture it can be observed that both shapes are similar.

Side-length of the similar shapes are proportional.

It can be seen that side with 'z' is corresponding to side with measure 10 on smaller shape and 20 is corresponding to the side with measure 12 on smaller shape.

Using proportionality-, we have

`(z)/(10)=(20)/(12)\\\\\Rightarrow\ z=(20)/(12)*100=(200)/(12)\\\\=(50)/(3)\ \ [\text{Divided numerator and denominator by 4}]`

Hence, the value of z is
`(50)/(3)` .