Question

The polygons are similar but not necessarily drown to scale. What is the value of x?

Answer 1

Answer: 38

Explanation:

Since the polygons are similar, the corresponding sides are all in the same proportions.

x-2/4.5 = 16/2 = 48/6

Solving for x

`(x-2)/(4.5)=(48)/(6)`

`(x-2)/(4.5)=8`

`(4.5\left(x-2\right))/(4.5)=8\cdot \:4.5`

`x-2=36`

`x-2+2=36+2`

`x=38`

Therefore, the value of x is 38