Final answer:
To make a quilt that is 2 feet by 2 feet with pieces that are 2 inches by 3 inches, you need 96 pieces because the quilt is 24 inches by 24 inches, and each piece covers 6 square inches.
Step-by-step explanation:
To determine how many rectangular pieces are needed to make a quilt that is exactly 2 feet by 2 feet, first convert the measurements of the quilt from feet to inches, since the pieces are measured in inches. There are 12 inches in a foot, so the quilt is 24 inches by 24 inches. Each piece of the quilt is 2 inches by 3 inches, which has an area of 6 square inches.
The area of the quilt is 24 inches × 24 inches = 576 square inches. Now, divide the area of the quilt by the area of one piece to find out how many pieces are needed: 576 square inches ÷ 6 square inches per piece = 96 pieces. Thus, the correct answer is c) 96.