https://file.aiquickdraw.com/mathbot/file/1729218346057pko0e1rw.jpg

It looks like you uploaded an image showing two rectangles, labeled "A" and "B," along with some side lengths, and you're being asked to find the missing side length. 

- For rectangle **A**, the dimensions are given as **18 ft** and **30 ft**.
- For rectangle **B**, one dimension is **24 ft**, and the other side is unknown, labeled as **X**.

To solve this problem, it is likely using the concept of **similar rectangles**, meaning the ratios of the corresponding sides are equal.

Let's set up a proportion to find the missing side:

\[
\frac{\text{Side 1 of A}}{\text{Side 1 of B}} = \frac{\text{Side 2 of A}}{\text{Side 2 of B}}
\]

Using the given sides:

\[
\frac{18}{24} = \frac{30}{X}
\]

Now solve for **X**:

\[
18X = 30 \times 24
\]

\[
18X = 720
\]

\[
X = \frac{720}{18} = 40
\]

So, the missing side length **X** for rectangle B is **40 ft**.

Would you like further details on this, or do you have any questions?

Here are some follow-up questions to deepen your understanding:
1. Why are the rectangles considered similar, and how does that affect their side ratios?
2. What other ways could we solve this problem if the rectangles weren't similar?
3. Can we apply the same method to other geometric shapes?
4. How does the Pythagorean theorem relate to solving rectangle problems?
5. What are real-life examples where similar rectangle calculations are useful?

**Tip:** When dealing with similar shapes, always check that corresponding angles are equal and side ratios are consistent!

Find the missing side length for rectangle B when given similar rectangle A.

Learn how to find the missing side length of rectangle B using the properties of similar rectangles and proportions. In this problem, rectangle A has sides of 18 ft and 30 ft, and rectangle B has one side given as 24 ft. Find the other side using a proportion equation. This problem is suitable for students in Grades 6-8.

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