Final answer:
The area of the can's label is found by calculating the circumference of the can (considered as the width of the label) and multiplying by the height of the can. The circumference is calculated using the diameter provided, and the resulting area of the label is 36.09 square inches.
Step-by-step explanation:
The area of the label for the can of corn will be that of a rectangle. The height of the rectangle is the same as the height of the can which is 4 inches. To calculate the width (circumference of the can), we use the formula C = πd, where d is the diameter of the circle. Given the diameter of the can as 2 and 7/8 inches, we first convert that to a decimal, which is roughly 2.875 inches. Using the approximation π ≈ 3.14, the circumference is calculated.
C = π × d = 3.14 × 2.875 = 9.0225 inches (the width of the label). Now we can calculate the area of the label (A) using the formula A = height × width which gives us A = 4 × 9.0225 = 36.09 square inches.