Question

The ratio between the breadth and perimeter of a rectangular plot is 1:5 . If the area of the plot is 2400 sq.mt. What is its length?

Answer 1

Answer:

Step-by-step explanation:

let breadth be x

let the perimeter be 5x

perimeter of triangle = 2(l+b)

                             5x  = 2(l+x)

                             5x  =  2l + 2x

                         5x-2x = 2l

                              3x =  2l

                           3/2x = l

area of rectangle       = l X b

                                    = 3/2x X x

                          2400 = 3/2x

                 2400 x 2/3 = x

                       800 x 2 = x²

                            1600 = x²

                         √1600 = x

                                40 = x