The length of a rectangular park is 20 meters more than its breadth. If the cost of fencing the park at Rs. 53 per meter is Rs. 21200, then what is the area (in m2) of the park?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 9900.
Suppose breadth = x
Length = x + 20
Perimeter = 2(2x + 20)
Since the cost of fencing the park at Rs. 53 per meter is Rs. 21200;
Perimeter of the park = 21200/53 = 400 m
Now,
2(2x + 20) = 400
⇒ x = 90
Breadth = 90
Length = 20 + 90 = 110
Area of the park = 110 × 90 = 9900