Question

A path. Of wide runs around a square park of side 200m find the area of the path also find the cost of cementing it at the rate of rupees 300 per 10 square meters

Answer 1

Answer:

Rs 252000

Step-by-step explanation:

Let say wide path = 10 m each sides

Side of square = 200 m

Side of Area with wide path = 200 + 10 + 10 = 220 m

Area of Park with path = 220²

Area of Park = 200²

Area of Path = Area of Park with path - Area of Park  

220² - 200²

= (220 + 200)(220-200)

= 420 * 20

= 8400 m²

Rate of cementing = Rs 300 per 10 m²

=> Rs 30 per m²

Cost of cementing 8400 m² = 8400 * 30

= Rs 252000

Answer 2

Answer:

Assuming width of circular path = 5 m

Step-by-step explanation:

Area of square park = side²

                                 = 200²

                                  = 40000 m²

Side of smaller square = 200 - 5 - 5 = 190 m²

Area of smaller square = 190² = 36100 m²

Thus area of path = Area of larger square - area of smaller square

                              = 40000-36100

                              = 3900 m²

Cost of cementing = Cost per square meter x total area of path

                                =  Rs 300/10 x 3900

                                =  Rs 117000