The ratio of length and breadth of a rectangular field is 15 : 8, and its perimeter is 46 m.  What is the length of its diagonal?

17 m

Length : Breadth = 15 : 8

Perimeter = 2 (l + b) = 2 (23x) = 46

⇒ x = 1

Therefore, sides of rectangle = 15m & 8m

Now,

⇒ Length of  diagonal of the rectangle = \(\sqrt {l^2 + b^2}\)

                                   = \(\sqrt {225 + 64}\)

                                   = \(\sqrt {289}\)

                                   = 17 m