Q. 51. The length of a rectangular park is
20 m more than its breadth. If the cost of
fencing the park at Rs. 53 per metre is
Rs. 21,200 , then what is the area (In
square metres) of the park?
SSC CHSL (Evening)

To solve this problem, we start with the given information. Let’s denote the breadth of the park as meters. Consequently, the length will be meters. The perimeter of a rectangle is given by the formula . Substituting in our expressions, we have:

With a cost of fencing at Rs. 53 per metre, the total cost can be expressed as:

Solving for :

Setting our perimeter equation equal to this value:

Subtracting 40 from both sides gives:

Dividing by 4 gives:

Now we can find the length:

To find the area of the park:

Now, we’ve successfully calculated that the area of the park is 9900 square meters! 🎉

Did you know that rectangles are special shapes with even more wonderful properties? For instance, the area is not only computed as length times breadth, but it’s also equal to half the base times the height when viewed in terms of triangles and parallelograms! Fun, right?

Fencing a park isn’t just about aesthetics; it’s also about functionality. A well-fenced park can prevent animals from wandering in, protect plants, and provide a secure area for children to play. Imagine having the perfect spot for a picnic without any interruptions!