Question

the length and breadth of a rectangular playground is in the ratio of 4 :
1 the cost of fencing the the playground rupees 50 per metre is rupees 5000 find the dimensions of the playground

Answer 1

let the length be 4x and breadth be x
total cost of fencing = Rs. 5000
cost of fencing per m = Rs. 50
Perimeter of playground = 5000/50
=100 m
4x+x=100
5x=100
x=100/5
x=20

length =80
breadth = 20

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

∴beradth = 10m and length = 40m