Question

The length and breadth of a rectangular playground is in the ratio of 4:1. The cost of fencing the playground at the rate of Rs 50 per metre is Rs 5000. Find the dimensions of the playground.

Answer 1

let, the breadth of the playground be x
      length = 4x
perimeter of the playground = 2(l+b)
                                             = 2(4x+x)
                                             = 2(5x)
                                             = 10x
rate of fencing per m² = rs.50
rate of fencing per 10x m² = rs.5000 = 50×100
10x = 100
x = 10
∴beradth = 10m and length = 40m

Answer 2

Answer:

answer is 40m

Step-by-step explanation:

let, the breadth of the playground be x

     length = 4x

perimeter of the playground = 2(l+b)

                                            = 2(4x+x)

                                            = 2(5x)

                                            = 10x

rate of fencing per m² = rs.50

rate of fencing per 10x m² = rs.5000 = 50×100

10x = 100

x = 10

∴breadth = 10m and length = 40m