The cost of ploughing a rectangular field whose length is 15 meters and breadth is 20 meters is Rs 20 per 𝑚2𝑚2.If the length of a rectangle is increased by 20% and breadth is decreased by 25% Find the cost of ploughing the new field .Rs 5400Rs 6000Rs 5700Rs 7200
Question
The cost of ploughing a rectangular field whose length is 15 meters and breadth is 20 meters is Rs 20 per 𝑚2𝑚2.If the length of a rectangle is increased by 20% and breadth is decreased by 25% Find the cost of ploughing the new field .Rs 5400Rs 6000Rs 5700Rs 7200
Solution
First, let's calculate the area of the original rectangular field. The area of a rectangle is given by the formula length x breadth. So, the area of the original field is 15 meters x 20 meters = 300 square meters.
The cost of ploughing this field is Rs 20 per square meter. So, the total cost is 300 square meters x Rs 20/square meter = Rs 6000.
Now, the length of the rectangle is increased by 20% and the breadth is decreased by 25%. So, the new length is 15 meters + 20% of 15 meters = 18 meters. The new breadth is 20 meters - 25% of 20 meters = 15 meters.
The area of the new field is 18 meters x 15 meters = 270 square meters.
The cost of ploughing this new field is 270 square meters x Rs 20/square meter = Rs 5400.
So, the cost of ploughing the new field is Rs 5400.
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