Question

The ratio of similarity of the following hexagons is 3/4. What is a/b?

Answer 1

the side length in the first hexagon is 3a+b and the second a+2b

Answer 2

answers: 3/7, 1/7, 2/9, 1/9

Answer 3

We are given the ratio of similarity as
\[\frac{3}{4}\]
Side length of first hexagon is 3a+b and for the second is a+2b
so
\[\frac{3a+b}{a+2b}=\frac{3}{4}\]
Cross multiply, we get
\[4\times (3a+b)=3 \times (a+2b)\]
\[12a+4b=3a+6b\]
Subtract both sides by 3a and 4b
\[9a=2b\]
divide both sides by 9b, we get
\[\frac{a}{b}=\frac{2}{9}\]

Answer 4

oh that makes sense...thank you!

Answer 5

Welcome:D