Complete question :
Colleen and Caroline each built a rectangle out of square tiles placed in 3 rows of 5. Colleen used tiles that measured 1 2/3 cm in length. Caroline used tiles that measured 3 1/3 cm in length.
a. Draw the girls’ rectangles, and label the lengths and widths of each.
b. What are the areas of the rectangles in square centimeters?
c. Compare the areas of the rectangles.
Answer:
Colleen = 41.667 cm²
Carolina = 166.667 cm²
Carolina's rectangle is larger Than Collen's
Explanation:
To start with, we determine the total number of tiles used
3 Rows of 5 ; 3 in 5 places = 15
Length of collen's square tiles : 1 2/3 = 5/3
Area of collen's square tiles = square of side length, = (5/3)² = 25/9
Area of rectangle formed = area of square * number of tiles
(25 /9) * 15 = 41.667 cm²
Length of carolina's square tiles : 3 1/3 = 10/3
Area of collen's square tiles = square of side length, = (10/3)² = 100/9
Area of rectangle formed = Area of square * number of tiles
(100/9) * 15 = 166.667 cm²
Carolina's rectangle is larger Than Collen's