Final answer:
To find the value of y, set up a proportion using the given information and solve for y.
Step-by-step explanation:
To find the value of y, we need to use the given information and set up a proportion. From the given information, we have:
- 3 cm / 5 cm = x / 6 cm
- 2 cm / 3 cm = y / x
By cross-multiplying:
- 3 cm * 6 cm = 5 cm * x
- 2 cm * x = 3 cm * y
Simplifying the equations:
- 18 cm^2 = 5x cm
- x = (18 cm^2) / 5 cm
- x = 3.6 cm
- 6 cm * y = 2 cm * 3.6 cm
- 6y = 7.2 cm
- y = 7.2 cm / 6 cm
- y = 1.2 cm
Therefore, the value of y is 1.2 cm.