The length of side Y is?

Answer:
160
Step-by-step explanation:
Make a proportion with the corresponding sides
[tex]\frac{35}{140}[/tex] = [tex]\frac{40}{y}[/tex]
[tex]\frac{35}{140}[/tex] simplifies to [tex]\frac{1}{4}[/tex] You do not have to simplify, but these are more manageable numbers.
[tex]\frac{1}{4}[/tex] = [tex]\frac{40}{y}[/tex] I can see that if I multiple the numerator of the first fraction by 40, I will get the numerator of the second fraction. So, I will multiply the denominator of the first fraction (4) with 40 to get x.
4(40) = 160