Finding Length and Perimeter of a Rectangular Compound
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9. Fencing a rectangular compound of a house cost ₹5432. If the rate of fencing is ₹94 per metre, find the perimeter of the compound. If the breadth of the compound is $10 \text{ m}$, find its length.
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Let's solve this problem about fencing a rectangular compound. We are given the total cost, the rate per metre, and the breadth of the compound.
Problem Analysis
Total Cost = ₹ 5432
Rate = ₹ 94/m
Breadth ($b$) = 10 m
First, we need to find the perimeter of the compound. We know that the total cost of fencing is equal to the perimeter multiplied by the rate.
So, to get the perimeter, we divide the total cost by the rate of fencing.
Plugging in our values, we have five thousand four hundred and thirty-two divided by ninety-four.
Calculating this division gives us fifty-eight. So the perimeter of the compound is fifty-eight metres.
Now that we have the perimeter and we know the breadth is ten metres, we can find the length.
Finding the Length
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