Question

The polygon's are similar. Find the values of x and y.

Answer 1

X= 6 y=21
answer ^^^^^

Answer 2

Answer:

x = 9   y = 27

Step-by-step explanation:

Since the two polygons are similar, we know that they are proportionate to each other. If we divide the values of corresponding sides:

16 ÷ 12 = 1 ¹/₃

32 ÷ 24 = 1 ¹/₃

We now know that the figure on the left is 1 ¹/₃ times the figure on the right. With this information, we can figure out the measurements of the two sides and then find the values of x and y.

6 · 1 ¹/₃ = 8

21 · 1 ¹/₃ = 28

Now that we know the values of each side, we can plug our equations in to find the values of x and y.

x - 1 = 8

x = 9

y + 1 = 28

y = 27

~Hope this helps!~