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To calculate the width of the rectangular garden, we can use the formula for the area of a rectangle:

\[
\text{Area} = \text{Length} \times \text{Width}
\]

From the problem:
- Area = \(46 \frac{1}{2}\) square feet (which is 46.5 square feet),
- Length = \(7 \frac{1}{2}\) feet (which is 7.5 feet).

Now, rearranging the formula to solve for the width:

\[
\text{Width} = \frac{\text{Area}}{\text{Length}} = \frac{46.5}{7.5}
\]

Let me calculate that.The width of the rectangular garden is 6.2 feet.

Would you like more details or have any questions?

Here are 5 related questions to expand on this topic:
1. How would the width change if the area of the garden increased by 10 square feet?
2. What would the perimeter of the garden be with these dimensions?
3. How do you calculate the diagonal of the garden using its length and width?
4. If the width were doubled, what would the new area be?
5. How can you verify the calculated width using the original area and length?

**Tip:** When working with mixed numbers like \(46 \frac{1}{2}\), converting them to decimals often simplifies calculations.

A rectangular garden has an area of 46 & 1/2 square feet. If the length of the garden is 7 & 1/2 feet, calculate the width.

Solve the problem of finding the width of a rectangular garden with an area of 46.5 square feet and a length of 7.5 feet. This example demonstrates the use of area formulas and simple division, suitable for students in Grades 6-8.

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