Calculate Total Flooring Area

To calculate the total floor area when you have a floor length and a width, you simply multiply the length by the width.

Example:

• Floor length = 10 feet
• Floor width = 10 feet

$\text{Total floor area}=\text{Floor length}\times \text{Floor width}$

Total floor area = 10 feet × 10 feet Total floor area = 100 square feet.

So, the total floor area is 100 square feet.

Calculate Board Area

To calculate the area covered by each board when you have a board length and a width, you simply multiply the length by the width.

Example:

• Board length = 3 feet
• Board width = 1 foot

Area covered by each board = Board length × Board width 

Area covered by each board = 3 ft × 1 ft 

Area covered by each board = 3 square ft

So, each board covers an area of 3 square ft.

Calculate Number of Boards Needed

To determine the number of boards required for a 100 square feet flooring area, you divide the total flooring area by the area covered by each board.

Example:

• Total flooring area = 100 square feet
• Area covered by each board = 3 square feet (from previous calculation)

Number of boards required = Total flooring area / Area covered by each board Number of boards required = 100 square feet / 3 square feet Number of boards required ≈ 33.33

Since you cannot have a fraction of a board, you would typically round up to the nearest whole number to ensure you have enough boards to cover the entire area. Therefore, you would need approximately 34 boards to cover a 100 square feet flooring area.

Add Waste Factor:

To add a 5% waste factor to the total floor area, you would calculate 5% of the total floor area and then add that amount to the original total floor area.

• Calculate 5% of the total floor area: Waste = 5% × Total floor area Waste = (5/100) × 100 Waste = 5 square feet
• Add the waste to the original total floor area: Total floor area with waste = Total floor area + Waste = 100 square feet + 5 square feet = 105 square feet

So, the total floor area with a 5% waste factor is 105 square feet

Total Cost of Boards

To find the total cost of the boards, you multiply the number of boards required by the cost per board.

Given:

• Number of boards required = 34 (from previous calculation)
• Cost per board = $10

Total cost = Number of boards required × Cost per board Total cost = 34 boards × $10/board Total cost = $340

So, the total cost of the boards is $340.

If we add a 5% waste factor, then 35 boards would be required, and the total cost of the boards is $350.