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.
