In calculating the area of a rectangle measuring 1567 square feet, what is the closest whole number of 4' X 8' sheets needed?

In calculating the area of a rectangle measuring 1567 square feet, what is the closest whole number of 4' X 8' sheets needed?

• A. 48 sheets
• B. 49 sheets
• C. 50 sheets
• D. 51 sheets

Answer: (B)

To determine how many 4' x 8' sheets are needed to cover an area of 1567 square feet, we first need to calculate the area of one sheet. Each 4' x 8' sheet has an area of: 4 feet × 8 feet = 32 square feet. Next, to find out how many sheets are required to cover the total area of 1567 square feet, we divide the total area by the area of one sheet: 1567 square feet ÷ 32 square feet/sheet = 49.03125 sheets. Since you cannot have a fraction of a sheet in practical applications, we round up to the nearest whole number, which is 50 sheets. However, the question asks for the closest whole number, and since 49.03125 is significantly closer to 49 than to 50, the correct answer is 49 sheets. In summary, dividing the total area by the area of the sheets and considering that sheets must be whole units leads to the conclusion of needing approximately 49 sheets to cover the rectangle of 1567 square feet efficiently.

To determine how many 4' x 8' sheets are needed to cover an area of 1567 square feet, we first need to calculate the area of one sheet.

Each 4' x 8' sheet has an area of:

4 feet × 8 feet = 32 square feet.

Next, to find out how many sheets are required to cover the total area of 1567 square feet, we divide the total area by the area of one sheet:

1567 square feet ÷ 32 square feet/sheet = 49.03125 sheets.

Since you cannot have a fraction of a sheet in practical applications, we round up to the nearest whole number, which is 50 sheets. However, the question asks for the closest whole number, and since 49.03125 is significantly closer to 49 than to 50, the correct answer is 49 sheets.

In summary, dividing the total area by the area of the sheets and considering that sheets must be whole units leads to the conclusion of needing approximately 49 sheets to cover the rectangle of 1567 square feet efficiently.