4. A box is to be constructed from a rectangular sheet of cardboard by cutting squares of equal sides from each corner, then folding up the flaps (see picture). The rectangular sheet is 27 inches long and 21 inches wide. How big should the squares be cut so that the box will have a volume of 945 cubic inches?
5. The average of two numbers is 26.6 and the product of those numbers is 693.12. What are the two numbers?
6.) Marge is going to plant a triangular flower garden in the corner of her yard. She will make the triangle by connecting two points on the edges of her yard with a line segment. She wants the front edge (the hypotenuse) of the garden to be 22 feet long and she wants the garden to have an area of 86 square feet. What will be the dimensions of Marge's garden?