Answer:
x = 8
y = 64/3
Step-by-step explanation:
Let's call the polygon on the left as Polygon A and that on the right as Polygon B
Similar polygons will have corresponding sides proportional to each other
Thus each side of A ÷ corresponding side of B = constant
If we superimpose A on top of B we can determine the corresponding sides
But if you look at A, we see there are three sides which have equal length of 6. There are three sides of B which have equal length of x. So these are corresponding sides with ratio x/6 from A to B
We notice there are 2 sides of A with length 12 and 2 sides of B with length 16 so these are corresponding sides and ratio is 16/12
Therefore x/6 = 16/12 = 4/3
x = 6 x 4/3= 8
There is only one side of A with length 16 and one side of B with length y So these are corresponding sides and therefore
y/16 = x/6 = 4/3
y/16 = 4/3
y = 16 x 4/3 = 64/3
