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 dimension of playground.

Answer 1

COST = A*50
5000 = A * 50
A = 5000 / 50 = 100
AREA =100 m^2
4 : 1
Length = 4X AND bREADTH = 1X
So , 4X * 1X =100
4 X ^2 = 100
X^2 = 100/4 =25
X =5
LENGTH = 4X =4*5=20 m
BREADTH = 1X = 1*5 = 5 m

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