Question

A rectangular plot of dimension 500m×250m is to be fenced with wire.the fencing will involve 3 rounds of wire around the boundary.the cost of fencing is rupees 8 per meter what is total amount spent for it?

Answer 1

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✤ Required Answer:

✒️ GiveN:

• Dimension of plot = 500 m × 250 m
• Fenced 3 rounds of wire
• Cost of fencing = Rs. 8/m

✒️ To FinD:

• Total amount of money spent.....$?$

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✤ How to solve?

For finding the boundary to be fenced, we need to find the perimeter first and then multiply with number of rounds. After we get the distance to be fenced, we can find the amount of money to be spent on fencing.

☘️ So, Let's solve this question.....

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✤ Solution:

We have,

• Length of the plot = 500 m
• Breadth of the plot = 250 m

Finding the perimeter of the plot,

➝ Perimeter = 2 × (Length + breadth)

➝ Perimeter = 2 × (500 m + 250 m)

➝ Perimeter = 2 × 750 m

➝ Perimeter of the plot = 1500 m

Now,

➝ Total length to be fenced = 3 × Perimeter

➝ Total length to be fenced = 3 × 1500 m

➝ Total length to be fenced = 4500 m

Given, ATQ

• 1 m of fencing costs Rs. 8

Finding total cost of fencing,

➝ 1 m = Rs.8

➝ 4500 m = Rs. 4500 × 8

➝ 4500 m = Rs. 36,000

☕️ Cost of fencing the rectangular plot = Rs.36000

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