Calculator workspace

Trapezoid Area Calculator
— Free Square Footage Tool

Enter the two parallel sides and height of a trapezoid to calculate its area in square feet.

RECTANGLE DIMENSIONS
Material Waste Factor optional
%
Estimate Material Cost optional
ft²
Results
Square Feet
Square Inches
Square Yards
Square Meters
Acres

Use the Trapezoid Square Foot Calculator to find the area of any trapezoidal space in square feet. Enter the two parallel sides (a and b) and the perpendicular height to get instant results. Common for irregular lots, retaining walls, and architectural features with non-parallel sides.

Explore Our Square Footage Calculators

Choose a specialized calculator for your exact project — rooms, shapes, materials, outdoor areas, and unit conversions.

What is trapezoid square footage?

Trapezoid square footage is the area of a trapezoidal shape measured in square feet. A trapezoid has two parallel sides of different lengths. The formula is: Area = [(a + b) / 2] x h, where a and b are the parallel sides and h is the perpendicular height.

1 ft² = 144 in² 1 ft 1 ft (12 in)

Getting started

How to Calculate Trapezoid Square Footage

The formula for trapezoid area is: Area = [(a + b) / 2] x h. Add the two parallel sides, divide by 2, then multiply by the height. A trapezoid with parallel sides of 8 feet and 14 feet, and a height of 6 feet, has an area of 66 square feet.

1. Select your shape

Choose from rectangle, circle, triangle, trapezoid, L-shape, annulus, or wall-and-window layouts to match your project.

2. Enter your measurements

Input dimensions in feet, inches, yards, meters, or centimeters. The Square Foot Calculator converts units automatically.

3. Get area and cost

View results in square feet, square yards, square meters, and acres. Add a material price per unit to estimate total project cost.

20 ft 15 ft 300 ft² Area: 300 ft² Order: 330 ft² +10% waste factor included

Quick reference

Reference

1 acre = 43,560 square feet
1 square yard = 9 square feet
1 square meter = 10.764 square feet
1 square inch = 0.00064516 square feet
Area: 300 ft² × Price: $2.80 / sq ft Total: $840.00 estimated material cost

Material pricing

Calculate Cost of Materials

Enter the price per square foot of material to estimate total cost. The calculator accepts pricing in square feet, square inches, square yards, or square meters and converts to the correct total based on your area.

There are 2 steps to calculate material cost:

  1. Enter the price per unit area. For tiling projects, enter the price per box and the number of square feet each box covers. For carpet, enter the cost per square yard. For flooring installation with hardwood or laminate, enter the cost per square foot.
  2. Select the unit of area that matches your pricing. The Square Foot Calculator multiplies your total area by the unit price to produce an estimated material cost, including labor costs when added to the per-unit price.

To calculate the volume of bulk materials like mulch or gravel for landscaping, convert area to cubic yards or cubic meters by multiplying the area by the depth of material.

Core formula

Basic Formula for Area

Area is the amount of space occupied by a 2-dimensional shape. The shape could be a floor, a wall, a playground, or a field. The simplest formula for area applies to any rectangular shape:

Area = Length × Width

Measure the length and width of the space in feet. Multiply the two values to get the area in square feet. A rectangular room that is 12 feet (3.66 meters) long and 10 feet (3.05 meters) wide has an area of 120 sq ft (11.15 sq m).

Square yardage is area measured in yards, and square meters is area measured in meters. Measure in feet, find the area in square feet, then convert to the unit you need.

For an L-shape room, split the floor into 2 rectangular sections, calculate each area, and add the results. Convert all measurements to the same unit before multiplying, if your dimensions are in different units like inches and feet.

Length Width L × W Area = L × W Example: 12 ft × 10 ft = 120 ft²

Basic Length Conversion

Convert other units of measure to feet with these 4 formulas:

From To Feet Formula
InchesFeetDivide by 12
YardsFeetMultiply by 3
MetersFeetMultiply by 3.28084
CentimetersFeetDivide by 30.48

For example, 48 inches ÷ 12 = 4 feet. A measurement of 5 meters × 3.28084 = 16.40 feet. The Square Foot Calculator handles these conversions automatically when you select the input unit.

Unit conversion

Area Conversion

Measure your space in inches or centimeters, calculate area in square inches or square centimeters, then convert to any unit you need, including square feet, square yards, square meters, or acres.

Unit Square Feet Equivalent
1 sq ft144 sq in
1 sq yd9 sq ft
1 sq m10.764 sq ft
1 acre43,560 sq ft

A 300 sq ft room equals 33.33 sq yd, 27.87 sq m, or 43,200 sq in. The Square Footage Calculator displays all conversions at once so you can compare units for flooring, carpet, or tiling projects without manual math.

Shape formulas

Area Formulas for Different Shapes

The Square Foot Calculator supports 11 shape formulas for construction, interior design, landscaping, and flooring projects. Each formula below includes a diagram with labeled dimensions.

Trapezoid Shape

Calculate square foot of a trapezoid

a b h Area = [(a + b) ÷ 2] × h

Using measurements in feet: Area (ft²) = [(a + b) ÷ 2] × h. The variables a and b are the 2 parallel sides, and h is the perpendicular height between the parallel sides. A trapezoid with parallel sides of 8 feet (2.44 meters) and 14 feet (4.27 meters), with a height of 6 feet (1.83 meters), has an area of 66 sq ft (6.13 sq m).

Waste factor

Adding 10% Surplus for Materials

Add a 10% surplus to your calculated area to account for material waste during cutting, breakage, and pattern matching. This waste factor applies to flooring, carpet, tiling projects, and landscaping materials.

Original Area 100 sq ft
+10%
Order Amount 110 sq ft
Total Material = Area × 1.10

A room with 200 sq ft of floor area needs 220 sq ft of material: 200 × 1.10 = 220 sq ft. Increase the surplus to 15% (multiply by 1.15) for diagonal flooring installation patterns or complex tiling projects with many cuts. The Square Foot Calculator includes a waste factor field for this calculation.

FAQ

Frequently Asked Questions

How do I calculate the square footage of a trapezoid?

Add the two parallel sides, divide by 2, then multiply by the height. Area = [(a + b) / 2] x h. A trapezoid with sides 10 ft and 16 ft and height 8 ft = 104 sq ft.

What is a trapezoid?

A trapezoid is a four-sided shape with exactly two parallel sides. The parallel sides are called bases, and the perpendicular distance between them is the height.

How do I measure the height of a trapezoid?

The height is the perpendicular distance between the two parallel sides. Measure straight across at a 90-degree angle from one parallel side to the other.

What is the difference between a trapezoid and a parallelogram?

A trapezoid has exactly two parallel sides, while a parallelogram has two pairs of parallel sides. Both use different area formulas.

Can I use this for irregular lot calculations?

Yes, many property lots are trapezoidal in shape. Measure the two parallel boundaries and the perpendicular distance between them to calculate lot area.

How do I calculate a trapezoid with sides in inches?

Convert inches to feet by dividing by 12, then apply the trapezoid formula. The calculator handles unit conversions automatically.

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