Five square flower beds each of side 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 land?

Options

A. `13.69 m^(2)`
B. `12.96 m^(2)`
C. `11.96 m^(2)`
D. `144m^(2)`

Answer

To find the area of the remaining part of the land after digging five square flower beds, we can follow these steps:

### Step 1: Calculate the area of the rectangular piece of land.
The area of a rectangle is calculated using the formula:
\[ \text{Area} = \text{Length} \times \text{Width} \]

Given:
- Length = 4.8 m
- Width = 4.2 m

Calculating the area:
\[ \text{Area} = 4.8 \, \text{m} \times 4.2 \, \text{m} = 20.16 \, \text{m}^2 \]

### Step 2: Calculate the area of one square flower bed.
The area of a square is calculated using the formula:
\[ \text{Area} = \text{Side}^2 \]

Given:
- Side of each flower bed = 1.2 m

Calculating the area of one flower bed:
\[ \text{Area} = (1.2 \, \text{m})^2 = 1.44 \, \text{m}^2 \]

### Step 3: Calculate the total area of the five flower beds.
To find the total area of the five flower beds, multiply the area of one flower bed by 5:
\[ \text{Total Area of Flower Beds} = 5 \times 1.44 \, \text{m}^2 = 7.2 \, \text{m}^2 \]

### Step 4: Calculate the remaining area of the land.
To find the remaining area of the land after the flower beds have been dug, subtract the total area of the flower beds from the area of the rectangular piece of land:
\[ \text{Remaining Area} = \text{Area of Land} - \text{Total Area of Flower Beds} \]
\[ \text{Remaining Area} = 20.16 \, \text{m}^2 - 7.2 \, \text{m}^2 = 12.96 \, \text{m}^2 \]

### Final Answer:
The area of the remaining part of the land is \( 12.96 \, \text{m}^2 \).

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