Mrs. Pender shows her students 2 sticks measuring 6 inches and 2 sticks measuring 8 inches. She asks the students to arrange the sticks to make a two-dimensional figure with the greatest possible area. The ways in which Anna and Reggie organize the sticks are shown.
Anna's shape is a kite with a 9.6 inches and a width of 10 inches. Reggie's shape is a rectangle with a base of 8 inches and a height of 6 inches.
Which statement comparing the areas of the figures is true?
The areas are the same because 8 times 6 = 2 (one-half 10 times 4.8).
Reggie’s shape has greater area because 8 times 6 greater-than 2 (one-half times 8 times 3).
Reggie’s shape has greater area because 8 times 6 greater-than one-half times 10 times 4.8.
Anna’s shape has greater area because 2 times 10 times 9.6 greater-than 8 times 5.
