Question

The cost of maintaining a roof garden is directly proportional to its area. If a rectangular shaped roof garden with dimensions 24 m and 62 m costs 4000 dollars to maintain per month, what is the radius of a circular roof garden that costs 7000 dollars to maintain per month? Please round your answers to two decimals and use π = 3.14

Answer 1

Answer:

28.79m

Step by Step Explanation:

24*62=1488

(7000*1488)/4000=2604

3.14*r²=2604

       r²=829.29

       r = √829.29

         = 28.79m

Answer 2

Answer:

28.42m

Step-by-step explanation:

Area of rectangular roof=(24*62)msq

                                        =1448msq

Therefore cost of maintaining per msq = (4000/1448)Rs

                                                                 =2.76 Rs

Therefore area of circular roof garden=7000/2.76

                                                               =2536.23

Therefore πr^2=A

              =>3.14*r^2=2536.23

              =>r^2=2536.23/3.14

              =>r^2=807.71

              =>r=√807.71

              =>r=28.42m(ans)