Question

the length and breadth of a Park are in the ratio 2:1 its perimeter is 240 M apart of 2m wide runs inside it along boundary find the cost of paving the path at rs 5per m^

Answer 1

Let the breadth of the park be x m.

therefore length = 2x m.

its perimeter = 2(l + b) units

=> 2 (2x + x )  = 6x m.

But perimeter = 240 m

therefore , 6x = 240 

=> x = 40

therefore, breadth of park = 40 m

length of the park = 40 * 2 = 80 m.

Its area = l * b

=> 40 * 80 = 3200 m2

breadth of the excluding part = 40 - (2 + 2) =40 - 4 = 36 m.

length of excluding part = 80 - 4 = 76 m.

Area of excluding part = l * b

 =>  76 * 36 m2 = 2736 m2

Therefore, area of the path = (3200 - 2736)m2  = 464 m2

Rate of paving = Rs. 3 /m2

Therefore, Cost = Rs. (464 *3) = Rs. 1392