Answer:
28.75sq meter
Step-by-step explanation:
To find the area of the garden excluding the pathway, we need to calculate the area of the garden first, then subtract the area taken up by the pathway.
1. **Calculate the area of the garden:**
- Length of the garden: \(11 \frac{1}{2} \) meters \( = 11.5 \) meters
- Width of the garden: \(3 \frac{1}{4} \) meters \( = 3.25 \) meters
The area of the garden is:
\[
\text{Area} = \text{Length} \times \text{Width} = 11.5 \times 3.25 = 37.375 \text{ square meters}
\]
2. **Calculate the area of the pathway:**
- Width of the pathway: \( \frac{3}{4} \) meter \( = 0.75 \) meter
- Length of the pathway will be the same as the length of the garden: \(11.5 \) meters
The area of the pathway is:
\[
\text{Area of the pathway} = \text{Length of the garden} \times \text{Width of the pathway} = 11.5 \times 0.75 = 8.625 \text{ square meters}
\]
3. **Subtract the area of the pathway from the total area of the garden:**
\[
\text{Area excluding pathway} = 37.375 - 8.625 = 28.75 \text{ square meters}
\]
Thus, the area of the garden excluding the pathway is \(28.75\) square meters.
