Question

One meter wide path is built inside a square park of side 30 m along its sides. The remaining part of the park is covered by grass. Find the area of the path. *​

Answer 1

Answer:

Side of square garden =30m

Side of square garden not including the path =28m

Area of square garden not including the path =(28)2=784m2

Now,

Cost of covering the park with grass =784× Rate per square metre =Rs.1176(Given)

∴ Rate per square metre =7841176=Rs.1.5

Hence the rate per square metre at which the park is covered by the grass is Rs.1.5.

Answer 2

Given that side of a square garden = 30m = a

We know that area of square = a2

Area of the square garden including the path = a2 = (30)2 = 900 m2

From the figure, it can be observed that the side of the square garden, when the path is not included, is 28 m.

Area of the square garden not including the path = (28) 2 = 784 m2

Total cost of covering the park with grass = Area of the park covering with green grass x Rate per square metre 1176 = 784 x Rate per square metre

Rate per square metre at which the park is covered with grass = (1176/784) = Rs. 1.50 per m^2