The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs. 5300, what is the length of the plot in metres?
📊 Let’s solve the problem! 🤔
Let the breadth of the plot be x metres. 📏
Then, the length of the plot is (x + 20) metres. 📈
The perimeter of the plot is the sum of all its sides. 📊
Perimeter = 2 × (Length + Breadth)
= 2 × (x + 20 + x)
= 2 × (2x + 20)
= 4x + 40
The cost of fencing the plot is Rs. 5300. 💸
The cost of fencing per metre is Rs. 26.50. 💸
So, the perimeter of the plot is equal to the total cost of fencing divided by the cost per metre. 📊
4x + 40 = 5300 / 26.50
4x + 40 = 200
Now, solve for x. 🤔
4x = 200 – 40
4x = 160
x = 160 / 4
x = 40
So, the breadth of the plot is 40 metres. 📏
And, the length of the plot is (40 + 20) metres = 60 metres. 📈
The final answer is: 🎉 The length of the plot is 60 metres. 📏
