Final answer:
To find the total square inches of construction paper Luis needs, calculate the area of both rectangles separately and sum them up. The areas are approximately 160 square inches and 108.4965 square inches, resulting in a total of approximately 268.4965 square inches of construction paper required.
Step-by-step explanation:
The student is working on a problem about finding the total area of two rectangles, which is a task in mathematics. To solve this, we need to calculate the area of each rectangle separately by multiplying its length by its width and then adding both areas together to get the total square inches of construction paper Luis needs.
For the first rectangle with dimensions 12 inches × 131/3 inches, the area is calculated as follows:
12 inches × 13.333 inches (since 131/3 is equal to 13.333) = 160 square inches.
For the second rectangle with dimensions 101/2 inches by 101/3 inches, the area is:
10.5 inches × 10.333 inches = approximately 108.4965 square inches.
Adding both areas together gives:
160 square inches + 108.4965 square inches = approximately 268.4965 square inches.