Question

The polygons are similar but not necessarily drawn to scale. Find the value of x. (image attached)thank you ! :)

Answer 1

ANSWER :

x = 13

EXPLANATION :

Note that if two polygons are similar, the ratio of their corresponding sides is equal.

x - 3 corresponds to 2.5

and 8 corresponds to 2

So that will be :

$\begin{gathered} \frac{x-3}{2.5}=\frac{8}{2} \\ \text{ Cross multiply :} \\ 2(x-3)=2.5(8) \\ 2x-6=20 \\ 2x=20+6 \\ 2x=26 \\ x=\frac{26}{2}=13 \end{gathered}$