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The expenditure on the fencing of a rectangular park is Rs. 2700 and the cost of fencing per meter is Rs. 50. The length of the rectangular park is 3 m more than the breadth, then what will be the area of the rectangular park?

The expenditure on the fencing of a rectangular park is Rs. 2700 and the cost of fencing per meter is Rs. 50. The length of the rectangular park is 3 m more than the breadth, then what will be the area of the rectangular park? Correct Answer 180 m<sup>2</sup>

Given:

Cost of fencing per meter = Rs. 50

Total cost of fencing = Rs. 2700

Let breadth of the rectangular park be x m

Length of the rectangular park = x + 3

Calculation:

Perimeter of the rectangular park = 2700/50 = 54 m

Perimeter of the rectangular park = 2 (l + b)

2 (x + 3 + x) = 54

2x + 3 = 54/2 = 27

2x = 27 – 3 = 24

x = 24/2 = 12 m

Length of the rectangular park = x + 3 = 12 + 3 = 15

breadth of the rectangular park = 12 m

Area of the rectangular park = l × b = 15 × 12 = 180 m2

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