Question

The figures shown are similar. What is the scale factor? Two similar pentagons, one pentagon with base 9 and one pentagon with base 12.

a. 1 1/3
b. 2/3
c. 1 1/4
d. 3/4

Answer 1

`9:12=(9)/(12)=(9:3)/(12:3)=\boxed{(3)/(4)}\leftarrow\boxed{d.}`

Answer 2

`\sf You \ have \ to \ set \ it \ as \ fraction \ then \ simplify. \\ \\ (9)/(12) \\ \\ GCF = 3 \\ \\ Reduce \ by \ dividing \ both \ denominator \ and \ numerator \ by \ 3. \\ \\ (9 / 3)/(12 / 3) \\ \\ = (3)/(4)`