Question 83577

Length of the rectangle = 5 square rooot of 7 +2 square root of 3

                        = 5sqrt(7) + 2 sqrt(3)

Width of the rectangle = 6 square root of 7-3 square root of 3

                       = 6sqrt(7) - 3 sqrt(3)

Perimeter of the rectangle = 2L + 2W

                            = 2(5sqrt(7) + 2 sqrt(3)) + 2(6sqrt(7) - 3 sqrt(3))


                            = 10 sqrt(7) + 4 sqrt(3) + 12 sqrt(7) - 6 sqrt(3)


                            = 22 sqrt(7) - 2 sqrt(3)