To make accurate comparisons between the gardens based on their respective scales, we will first convert the dimensions of both gardens according to the scales given.
1. **Book Scale: 1 inch = 2 feet**
- Length A in the book: 18 inches
- Conversion: 18 inches * 2 feet/inch = 36 feet
- Width B in the book: 6 inches
- Conversion: 6 inches * 2 feet/inch = 12 feet
2. **Rasheeda's Scale: 2 inches = 3 feet**
- We can convert Rasheeda's dimensions back into feet using the same concept.
- Length A in Rasheeda's garden: 18 inches
- Conversion:
\[
\frac{18 \text{ inches}}{2 \text{ inches}} \times 3 \text{ feet} = 27 \text{ feet}
\]
- Width B in Rasheeda's garden: 6 inches
- Conversion:
\[
\frac{6 \text{ inches}}{2 \text{ inches}} \times 3 \text{ feet} = 9 \text{ feet}
\]
Now, let's summarize the dimensions:
- Length A of the book's garden: **36 feet**
- Width B of the book's garden: **12 feet**
- Length A of Rasheeda’s garden: **27 feet**
- Width B of Rasheeda's garden: **9 feet**
Now let’s evaluate each statement:
1. **Length A of the book’s garden is 18 ft.** - **False** (It's actually 36 feet).
2. **Length A of Rasheeda’s garden is 27 ft.** - **True**.
3. **Length B of the book’s garden is 12 ft.** - **True**.
4. **Length B of Rasheeda’s garden is 6 ft.** - **False** (It's actually 9 feet).
5. **Length A of the book’s garden is 9 ft longer than length A of Rasheeda’s garden.** - **False** (36 feet - 27 feet = 9 feet difference, but it's not accurate to say "9 ft longer").
6. **Length B of the book’s garden is 3 ft shorter than length B of Rasheeda’s garden.** - **True** (12 feet - 9 feet = 3 feet shorter).
The three true statements are:
- Length A of Rasheeda’s garden is 27 ft.
- Length B of the book’s garden is 12 ft.
- Length B of the book’s garden is 3 ft shorter than length B of Rasheeda’s garden.