Five square flower beds each of sides 1.2 m are dug on a piece of land 4.8 m long and 4.2 m wide. What is the area of the remaining part of the land ?

Options

A. 12.69 sq. m
B. 12.96 sq. m
C. 11.96 sq. m
D. 144 sq. m

Answer

To solve the problem step by step, we will calculate the area of the land, the area of one flower bed, the total area of the five flower beds, and finally the remaining area of the land.

### Step-by-Step Solution:

1. **Calculate the area of the piece of land:**
- The formula for the area of a rectangle is:
\[ \text{Area} = \text{Length} \times \text{Width} \]
- Given:
- Length = 4.8 m
- Width = 4.2 m
- Therefore, the area of the land is:
\[ \text{Area} = 4.8 \, \text{m} \times 4.2 \, \text{m} = 20.16 \, \text{m}^2 \]

2. **Calculate the area of one square flower bed:**
- The formula for the area of a square is:
\[ \text{Area} = \text{Side}^2 \]
- Given:
- Side = 1.2 m
- Therefore, the area of one flower bed is:
\[ \text{Area} = (1.2 \, \text{m})^2 = 1.44 \, \text{m}^2 \]

3. **Calculate the total area of the five flower beds:**
- Since there are 5 flower beds, the total area is:
\[ \text{Total Area of 5 flower beds} = 5 \times 1.44 \, \text{m}^2 = 7.2 \, \text{m}^2 \]

4. **Calculate the remaining area of the land:**
- To find the remaining area, subtract the total area of the flower beds from the area of the land:
\[ \text{Remaining Area} = \text{Area of Land} - \text{Total Area of Flower Beds} \]
- Therefore:
\[ \text{Remaining Area} = 20.16 \, \text{m}^2 - 7.2 \, \text{m}^2 = 12.96 \, \text{m}^2 \]

### Final Answer:
The area of the remaining part of the land is **12.96 m²**.

---