The ratio between the length and breadth of a rectangular field is 5 : 4 . If the breadth is 20 metres less perimeter of the field is -----

Options

A. A)260 m
B. B)280 m
C. C)360 m
D. D)None of these

Answer

To solve the problem step by step, we will follow these steps:

### Step 1: Understand the Ratio
The ratio of the length (L) to the breadth (B) of the rectangular field is given as 5:4. This means we can express the length and breadth in terms of a variable.

Let:
- Length (L) = 5x
- Breadth (B) = 4x

### Step 2: Use the Given Information
We are told that the breadth is 20 meters less than some value. However, we can interpret this as:
- B = 4x

Since we are not given the total value of breadth directly, we can set up an equation using the information provided in the problem.

### Step 3: Set Up the Equation
From the problem, we can say:
- B = 4x
- If the breadth is 20 meters less, we can assume that the difference between the length and breadth (L - B) is equal to 20 meters.

So:
- L - B = 20
- 5x - 4x = 20
- x = 20

### Step 4: Calculate Length and Breadth
Now that we have the value of x, we can find the actual length and breadth:
- Length (L) = 5x = 5(20) = 100 meters
- Breadth (B) = 4x = 4(20) = 80 meters

### Step 5: Calculate the Perimeter
The perimeter (P) of a rectangle is given by the formula:
\[ P = 2(L + B) \]

Substituting the values of length and breadth:
\[ P = 2(100 + 80) \]
\[ P = 2(180) \]
\[ P = 360 \text{ meters} \]

### Final Answer
The perimeter of the field is **360 meters**.

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