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Trapezoid Area Calculator

A trapezoid (or trapezium) is a four-sided quadrilateral featuring at least one pair of parallel opposite sides known as bases.

Length of the first parallel base.

Length of the second parallel base.

Perpendicular distance between parallel bases.

First non-parallel side length for perimeter calculation.

Second non-parallel side length for perimeter calculation.

Calculated Result
66 sq units

Trapezoid Area

Trapezoid Area

66 sq units

Midsegment (Median)

11.000 units

Parallel Base a

8 units

Parallel Base b

14 units

Height (Altitude)

6 units

Calculation Breakdown

  1. Median (Midsegment) Lengthm = (a + b) ÷ 2 = (8 + 14) ÷ 2 = 11.000 units.
  2. Area FormulationArea = m × h = 11.000 × 6 = 66.000 square units.

Trapezoid Area Scaling by Altitude (Bases: 8 and 14)

Interactive visualization based on your current inputs

Area
0.0285583110h = 4h = 6h = 8h = 10Height (h)Area (sq units)

What Is the Trapezoid Area Calculator?

A trapezoid area calculator computes enclosed surface area for quadrilaterals with two parallel edges.

How Does the Trapezoid Area Calculator Work?

Decomposes the shape into a central rectangle flanked by triangles or evaluates via midsegment multiplication.

Trapezoid Area Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Area = [(a + b) ÷ 2] × h · Median = (a + b) ÷ 2

Multiplies the arithmetic average of parallel bases by the perpendicular height.

How to Use the Trapezoid Area Calculator

  1. Enter the lengths of both parallel bases and the perpendicular distance separating them.

Step-by-Step Example Calculation

Bases 8 and 14 with Altitude 6

Input Values:

baseA:8
baseB:14
height:6

Understanding Your Result

Shows total square units of area and the midsegment average length.

Factors That Affect the Result

  • Base length differences and perpendicular altitude angle.

When Should You Use This Calculator?

  • Land surveying parcel mapping, architectural roof rafters, and civil drainage ditch cross sections.

Assumptions & Limitations

  • Bases must be strictly parallel lines.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard geometric polygon definition.

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