Question

The ratio between the length and breath of a rectangular park is 3:2.if a man cycling along the boundary of the park At the speed of 12 k/h complete one round in 8minutes,then find the area of the park

Answer 1

Answer:

153600 m²

Step-by-step explanation:

One round  = 2(l+b) = 2(3+2) = 2(5) = 10 parts

Speed = 12 km per hour (given)

Time taken to complete one round = 8 minutes

One round : 12 : 60 :: x : 8

                    1/5 x 8 = x

                    8/5 = 1.6 = x

                    ∴ 10 parts = 1.6 km = 1600 m

1 part = 160 m

Length = 3 parts = 160 m x 3 = 480 m

Breadth = 2 parts = 160 m x 2 = 320 m

Area of the park = l x b = 480 m x 320 m = 153600 m²