The breadth of a rectangle is 25 m. The total cost of putting a grass bed on this field was 12375, at the rate of 15 per sq m. What is the length of the rectangular field?

Options

A. 27 m
B. 30 m
C. 33 m
D. 32 m

Answer

To find the length of the rectangular field, we can follow these steps:

### Step 1: Calculate the Area of the Rectangle
We know that the total cost of putting a grass bed is given as 12,375 rupees, and the rate is 15 rupees per square meter. We can find the area of the rectangle using the formula:

\[ \text{Total Cost} = \text{Area} \times \text{Rate} \]

Rearranging the formula to find the area:

\[ \text{Area} = \frac{\text{Total Cost}}{\text{Rate}} = \frac{12375}{15} \]

### Step 2: Perform the Division
Now we will perform the division to find the area:

\[ \text{Area} = \frac{12375}{15} = 825 \text{ sq m} \]

### Step 3: Use the Area to Find the Length
The area of a rectangle is given by the formula:

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

We know the breadth is 25 m, so we can rearrange the formula to find the length:

\[ \text{Length} = \frac{\text{Area}}{\text{Breadth}} = \frac{825}{25} \]

### Step 4: Perform the Division to Find the Length
Now we will perform the division to find the length:

\[ \text{Length} = \frac{825}{25} = 33 \text{ m} \]

### Final Answer
The length of the rectangular field is **33 meters**.

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