The dimensions of a garden are 45 m by 20 m. In the garden there is a square shaped water pond with side 8m. Find the area of garden not including the water pond.

Options

A. `714m^(2)`
B. `640m^(2)`
C. `836m^(2)`
D. `630m^(2)`

Answer

To find the area of the garden not including the water pond, we will follow these steps:

### Step 1: Calculate the area of the garden
The garden is rectangular with dimensions 45 m by 20 m. The area of a rectangle is calculated using the formula:

\[ \text{Area of rectangle} = \text{Length} \times \text{Breadth} \]

Substituting the given values:

\[ \text{Area of garden} = 45 \, \text{m} \times 20 \, \text{m} = 900 \, \text{m}^2 \]

### Step 2: Calculate the area of the water pond
The water pond is square-shaped with a side length of 8 m. The area of a square is calculated using the formula:

\[ \text{Area of square} = \text{Side} \times \text{Side} \]

Substituting the given value:

\[ \text{Area of pond} = 8 \, \text{m} \times 8 \, \text{m} = 64 \, \text{m}^2 \]

### Step 3: Calculate the area of the garden not including the water pond
To find the area of the garden not including the water pond, we subtract the area of the pond from the area of the garden:

\[ \text{Area of garden not including pond} = \text{Area of garden} - \text{Area of pond} \]

Substituting the values we calculated:

\[ \text{Area of garden not including pond} = 900 \, \text{m}^2 - 64 \, \text{m}^2 = 836 \, \text{m}^2 \]

### Final Answer
The area of the garden not including the water pond is **836 m²**.

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