Question

how many sheets of standard notebook paper (8.5 in x 11 in) would it take to cover a football field (50 yards x 120 yards)? (1 yard = 36 in)
options: 8600, 83166, 90500

Explanation:

Step1: Convert football field dimensions to inches

First, convert the length and width of the football field from yards to inches. Since 1 yard = 36 inches, the length of the football field is \( 120 \text{ yards} \times 36 \text{ in/yard} = 4320 \text{ in} \), and the width is \( 50 \text{ yards} \times 36 \text{ in/yard} = 1800 \text{ in} \).

Step2: Calculate area of football field

The area of the football field (in square inches) is length times width: \( 4320 \text{ in} \times 1800 \text{ in} = 7776000 \text{ in}^2 \).

Step3: Calculate area of one notebook sheet

The area of one standard notebook sheet (8.5 in × 11 in) is \( 8.5 \text{ in} \times 11 \text{ in} = 93.5 \text{ in}^2 \).

Step4: Divide football field area by notebook sheet area

To find the number of sheets needed, divide the area of the football field by the area of one notebook sheet: \( \frac{7776000}{93.5} \approx 83165.77 \), which rounds to 83166.

Answer:

83166