The length and breadth of a rectangular piece of land are in the ratio 5:3. If the total cost of fencing at Rs.7 per metre is Rs.2800, find the area of the plot.

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answer is D.

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Detailed Solution

Concept: Using the cost provided, determine the perimeter. Next, using the perimeter, determine the length and width of the land. Finally, using the perimeter to compute the area.
length to width ratio

So, let length

and breadth

.
Fencing costs= Rs. 7 per meter
The whole price I Rs. 2800
As a result, the perimeter can be calculated by dividing the total cost by the price per metre.
So, the perimeter is

meter
We also understand that a rectangle's perimeter is equal to two times the product of its length and breadth.

So, length

And breadth

We are aware that a rectangle's area is equal to its length times its width.
So,

Hence, the correct answer is option 4

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