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Total Area
50
square feet
Board width 0.5 ft

What It Does

This calculator converts a length measured in linear feet into an area in square feet based on the width of the material. It is especially useful for flooring, decking, lumber, fencing, fabric, and trim projects where products are sold by the linear foot but you need to know how much surface area they will cover.

How to Use It

Enter the total linear feet of the boards or material, then enter the board width in inches. The calculator divides the width by 12 to express it in feet, then multiplies it by the linear length to give you the total square footage of coverage.

The Formula Explained

The core relationship is:

$$\text{square feet} = \frac{\text{linear feet} \times \text{width in inches}}{12}$$

Because area equals length times width, and width is given in inches, we divide by 12 (the number of inches in a foot) so both dimensions are in feet before multiplying.

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Rectangular board showing length L along the long side and width w along the short side, with shaded area
Linear feet measure the length of a board; multiplying by width gives the square-foot coverage area.

Worked Example

Suppose you have 100 linear feet of boards that are 6 inches wide. First convert the width: \(6 \div 12 = 0.5\) ft. Then multiply: \(100 \times 0.5 = \mathbf{50}\) square feet of coverage. Equivalently, $$\frac{100 \times 6}{12} = \frac{600}{12} = 50 \text{ sq ft}.$$

Diagram showing length in feet times width in inches divided by 12 equals area in square feet
Dividing the inch width by 12 converts it to feet so the product gives true square feet.

FAQ

Why divide by 12? Width is entered in inches, and there are 12 inches in a foot. Dividing converts the width to feet so the multiplication yields square feet.

Can I use this for flooring? Yes. Add up the total linear feet of all the planks and enter the plank width to estimate the area they will cover. Always add a waste allowance of 5–10% for cuts.

What if my width is already in feet? Multiply the width in feet by 12 before entering it, or simply multiply linear feet by the width in feet directly.

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