10 Jun '05 06:53

a)Indiana has a rectangular board 14cm x 15cm and a large supply of rectangular stamps in two sizes, 4cm x 3cm and 5cm x 2cm. She dicises to cover the board exactly with some of the stamps in any orientation, but with no gaps,cute or overlaps.She may use either kind or mixture of both.

Find all the differesnt selections of stamps Indiana can use and illustrate each with a diagram.Explain why there are noe more selections of stamps

b) Georgia has a rectangular board 11cm x 6cm,three rectangular stamps of size 4cm x 3cm and three rectangular stamps of size 5cm x 2cm.Show that she cannot cover the board exactly with these stamps in any orientation, with no gaps,cute or overlaps

Find all the differesnt selections of stamps Indiana can use and illustrate each with a diagram.Explain why there are noe more selections of stamps

b) Georgia has a rectangular board 11cm x 6cm,three rectangular stamps of size 4cm x 3cm and three rectangular stamps of size 5cm x 2cm.Show that she cannot cover the board exactly with these stamps in any orientation, with no gaps,cute or overlaps