Two similar rectangular gardens have a ratio of 2:3. If one side of the larger garden is 18 feet, how long is the corresponding side of the smaller garden?
27 feet
To find the length of the corresponding side of the smaller garden, we can use the ratio given and set up a proportion.
Let's assign variables to the lengths of the sides of the two gardens. Let's say the length of the larger garden is L and the length of the smaller garden is l.
According to the given ratio, we have:
L / l = 2 / 3
We know that L = 18 feet, so we can substitute that into the equation:
18 / l = 2 / 3
Now, let's cross-multiply to solve for l:
2 * l = 18 * 3
2l = 54
Divide both sides of the equation by 2 to isolate l:
l = 54 / 2
l = 27
Therefore, the length of the corresponding side of the smaller garden is 27 feet.