Question

3. The length of a rectangle is 3b + 2 and the width is 9b + 6. What is the ratio of its length to its width? Simplify your answer.

Can you guys help and please show your work? Thank you.

Answer 1

Length : Width = 3b + 2 : 9b + 6 

Take out common factor:
Length : Width = 3b + 2 : 3(3b + 2) 

Divide by 2b + 2 on both sides:
Length : Width = 1 : 3

Answer: 1 : 3

Answer 2

$\frac{3b+2}{9b+6} = \frac{3b+2}{3(3b+2)} = \frac{1}{3}$