Question

Hexagon A is a regular hexagon. The total length of all the sides of the hexagon is 36 inches. Hexagon A is dilated about its center to create Hexagon B. The length of each side of Hexagon B is 19 1/2 inches. By what factor was Hexagon A dilated to create Hexagon B?

A. 3/5
B. 4/13
C. 2 1/4
D. 3 1/4

Answer 1

The hexagons are similar (since they're both regular hexagons)


So their corresponding sides form a common ratio, which is the scale/dilation factor.


So the scale factor is


(19+1/2)/6 ..... Note: each side of hexagon A is 36/6 = 6 inches

(38/2+1/2)/6

(39/2)/(6)

(39/2)*(1/6)

(39)/(2*6)

39/12

13/4

3 1/4

So the answer is choice D

Answer 2

Thank you!!

Answer 3

you're welcome