A facility manager is replacing the flooring in a rectangular open-plan office that measur… — Armed Services Vocational Aptitude Battery (ASVAB)

A facility manager is replacing the flooring in a rectangular open-plan office that measures $60\text{ ft}$ in length and $46\text{ ft}$ in width. The office contains two identical rectangular utility columns, each measuring $6\text{ ft}$ by $5\text{ ft}$ , which will not be covered with the new flooring. If the new flooring material costs $\$22.00$ per square yard, what is the total cost of the flooring material required for the office in dollars?

Answer: 6600 dollars

Answer

6600

The correct calculation correctly subtracts the area of the utility columns to find the net area in square feet, correctly converts this area to square yards by dividing by 9, and then multiplies by the price per square yard to find the final total cost.

Step-by-Step Solution

Calculate the gross area of the office.

2760 sq ft

The total rectangular area without accounting for the utility columns is

60 \times 46

Calculate the total area of the two utility columns.

60 sq ft

Each column is

6 \times 5 = 30\text{ sq ft}

, and there are two of them, so

30 \times 2 = 60\text{ sq ft}

Subtract the column area from the gross area.

2700 sq ft

This provides the net area that requires new flooring.

Convert the net area from square feet to square yards.

300 sq yd

The flooring cost is given per square yard, and there are

9\text{ sq ft}

1\text{ sq yd}

. Therefore,

2700 \div 9 = 300

Calculate the total cost of the flooring material.

6600

Multiply the area in square yards by the cost per square yard:

300 \times 22 = 6600

Key Concept

Calculating subtractive rectangular area and applying square unit conversions to determine total cost.

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