Tara had just finished her first quilt. She marveled at the number of rectangles in the design. Tara showed the quilt to her sister, Alicia.
"Look at all of the rectangles in the quilt," exclaimed Tara.
"Rectangles?" asked Alicia. "I see five rows with five squares in each row. That's 25 squares. And, since a square is a special type of rectangle, there are 25 rectangles. Are there more that that?" Asked Alicia.
How many rectangles are there in the quilt?
Reference from Greenes, Carol, Linda Schulman, Rika Spungin, Suzanne Chapin, Carol Findell. Mathletics: Gold Metal Problems. Providence RI: Janson Publications Inc., 1990. p. 95.