The perimeter of a rectangular plot is 52m and its length is 17m. Find its
area.

Answer

To find the area of the rectangular plot given its perimeter and length, we can follow these steps:

### Step 1: Understand the formula for the perimeter of a rectangle.
The perimeter (P) of a rectangle is given by the formula:
\[ P = 2 \times (l + b) \]
where \( l \) is the length and \( b \) is the breadth.

### Step 2: Substitute the known values into the perimeter formula.
We know the perimeter is 52 meters and the length is 17 meters. So we can substitute these values into the formula:
\[ 52 = 2 \times (17 + b) \]

### Step 3: Simplify the equation.
Now, we can simplify the equation:
\[ 52 = 2 \times (17 + b) \]
Dividing both sides by 2 gives:
\[ 26 = 17 + b \]

### Step 4: Solve for the breadth (b).
Now, we can isolate \( b \) by subtracting 17 from both sides:
\[ b = 26 - 17 \]
\[ b = 9 \text{ meters} \]

### Step 5: Calculate the area of the rectangle.
The area (A) of a rectangle is given by the formula:
\[ A = l \times b \]
Substituting the values of length and breadth:
\[ A = 17 \times 9 \]

### Step 6: Perform the multiplication.
Now, we can calculate the area:
\[ A = 153 \text{ square meters} \]

### Final Answer:
The area of the rectangular plot is **153 square meters**.

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