posted by nolan .
The sides of a quadrilateral are 3, 4, 5, and 6. Find the length of the shortest side of a similar quadrilateral whose area is 9 times as great.
Remember that similar polygons are ones that have the same ratio for all the sides. So in order to have an area 9 times as great the sides must be 3 times as long (area is linear x linear, or 3 x 3 = 9).
(Check your answer--draw a picture if it helps!)