Question

the length and breath of a rectangular playground is in the ratio 4:1 .the cost of fencing the playground at the rate of ₹ 50 per metre is ₹ 5000. find dimensions of the playground​

Answer 1

Answer:

20,5

Step-by-step explanation:

Given :-

lenght and breath ratio of rectangular ground = 4:1

Cost of fencing = 5000

Find out :- lenght nd breath

Solution :-

As we know that cost of fencing is 5000

and rate is = 50rs/m

So area of rectangular =

$\frac{total \: cost}{cost \: per \: m}$

so => 5000/50 = 100 meter ²

=> also area of rectangular = l×b

let l is 4x and breath is x

=> 4x(x) = 100

=> 4x² = 100

=> x² = 25

=> x = 5

here 5 is breath so lenght = 4(5) = 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

∴breadth = 10m and length = 40m