How many days will a cow take to graze the grass of a square field of side 30 m, if it grazes 25 m everyday?

Options

A. 34 days
B. 36 days
C. 35 days
D. 38 days

Answer

To solve the problem of how many days a cow will take to graze the grass of a square field with a side of 30 m, where it grazes 25 m² of grass every day, we can follow these steps:

### Step-by-Step Solution:

1. **Calculate the Area of the Square Field:**
The area \( A \) of a square is calculated using the formula:
\[ A = \text{side} \times \text{side} \]
For a square field with a side of 30 m:
\[ A = 30 \, \text{m} \times 30 \, \text{m} = 900 \, \text{m}^2 \]

2. **Determine the Daily Grazing Area:**
The cow grazes 25 m² of grass each day.

3. **Calculate the Number of Days to Graze the Entire Field:**
To find the total number of days \( D \) it will take for the cow to graze the entire field, we divide the total area of the field by the area grazed per day:
\[ D = \frac{\text{Total Area}}{\text{Daily Grazing Area}} = \frac{900 \, \text{m}^2}{25 \, \text{m}^2} \]
Performing the division:
\[ D = 36 \, \text{days} \]

### Final Answer:
The cow will take **36 days** to graze the grass of the square field.

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