Area of Trapezoid Calculator

✖Short Base of Trapezoid is the shorter side among the pair of parallel sides of the Trapezoid.ⓘ Short Base of Trapezoid [B_Short]			+10% -10%
✖Long Base of Trapezoid is the longer side among the pair of parallel sides of the Trapezoid.ⓘ Long Base of Trapezoid [B_Long]			+10% -10%
✖Height of Trapezoid is the perpendicular distance between the pair of parallel sides of the Trapezoid.ⓘ Height of Trapezoid [h]			+10% -10%

✖Area of Trapezoid is the total quantity of plane enclosed by the boundary of the Trapezoid.ⓘ Area of Trapezoid [A]

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Formula

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Area of Trapezoid

Formula

`"A" = (("B"_{"Short"}+"B"_{"Long"})/2)*"h"`

Example

`"80m²"=(("5m"+"15m")/2)*"8m"`

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Area of Trapezoid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Trapezoid = ((Short Base of Trapezoid+Long Base of Trapezoid)/2)*Height of Trapezoid
A = ((B_Short+B_Long)/2)*h
This formula uses 4 Variables

Variables Used

Area of Trapezoid - (Measured in Square Meter) - Area of Trapezoid is the total quantity of plane enclosed by the boundary of the Trapezoid.
Short Base of Trapezoid - (Measured in Meter) - Short Base of Trapezoid is the shorter side among the pair of parallel sides of the Trapezoid.
Long Base of Trapezoid - (Measured in Meter) - Long Base of Trapezoid is the longer side among the pair of parallel sides of the Trapezoid.
Height of Trapezoid - (Measured in Meter) - Height of Trapezoid is the perpendicular distance between the pair of parallel sides of the Trapezoid.

STEP 1: Convert Input(s) to Base Unit

Short Base of Trapezoid: 5 Meter --> 5 Meter No Conversion Required
Long Base of Trapezoid: 15 Meter --> 15 Meter No Conversion Required
Height of Trapezoid: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = ((B_Short+B_Long)/2)*h --> ((5+15)/2)*8

Evaluating ... ...

A = 80

STEP 3: Convert Result to Output's Unit

80 Square Meter --> No Conversion Required

FINAL ANSWER

80 Square Meter <-- Area of Trapezoid

(Calculation completed in 00.004 seconds)

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< 3 Area of Trapezoid Calculators

Area of Trapezoid given Perimeter and Both Legs

Go Area of Trapezoid = ((Perimeter of Trapezoid-(Short Leg of Trapezoid+Long Leg of Trapezoid))*Height of Trapezoid)/2

Area of Trapezoid

Go Area of Trapezoid = ((Short Base of Trapezoid+Long Base of Trapezoid)/2)*Height of Trapezoid

Area of Trapezoid given Central Median

Go Area of Trapezoid = Central Median of Trapezoid*Height of Trapezoid

< 4 Important Formulas of Trapezoid Calculators

X Coordinate of Centroid of Trapezoid

Go X Coordinate of Centroid of Trapezoid = ((Long Base of Trapezoid+2*Short Base of Trapezoid)/(3*(Short Base of Trapezoid+Long Base of Trapezoid)))*Height of Trapezoid

Perimeter of Trapezoid

Go Perimeter of Trapezoid = Short Base of Trapezoid+Long Base of Trapezoid+Short Leg of Trapezoid+Long Leg of Trapezoid

Area of Trapezoid

Go Area of Trapezoid = ((Short Base of Trapezoid+Long Base of Trapezoid)/2)*Height of Trapezoid

Inradius of Trapezoid

Go Inradius of Trapezoid = Height of Trapezoid/2

Area of Trapezoid Formula

Area of Trapezoid = ((Short Base of Trapezoid+Long Base of Trapezoid)/2)*Height of Trapezoid
A = ((B_Short+B_Long)/2)*h

What is a Trapezoid?

Trapezoid is a quadrilateral with one pair of opposite and parallel sides. The pair of parallel sides is called the bases of the Trapezoid and the pair of non parallel edges is called the legs of the Trapezoid. Out of the four angles, in general a Trapezoid has 2 acute angles and 2 obtuse angles which are pairwise supplementary angles.

How to Calculate Area of Trapezoid?

Area of Trapezoid calculator uses Area of Trapezoid = ((Short Base of Trapezoid+Long Base of Trapezoid)/2)*Height of Trapezoid to calculate the Area of Trapezoid, Area of Trapezoid formula is defined as the total quantity of plane enclosed by the boundary of the Trapezoid. Area of Trapezoid is denoted by A symbol.

How to calculate Area of Trapezoid using this online calculator? To use this online calculator for Area of Trapezoid, enter Short Base of Trapezoid (B_Short), Long Base of Trapezoid (B_Long) & Height of Trapezoid (h) and hit the calculate button. Here is how the Area of Trapezoid calculation can be explained with given input values -> 80 = ((5+15)/2)*8.

FAQ

What is Area of Trapezoid?

Area of Trapezoid formula is defined as the total quantity of plane enclosed by the boundary of the Trapezoid and is represented as A = ((B_Short+B_Long)/2)*h or Area of Trapezoid = ((Short Base of Trapezoid+Long Base of Trapezoid)/2)*Height of Trapezoid. Short Base of Trapezoid is the shorter side among the pair of parallel sides of the Trapezoid, Long Base of Trapezoid is the longer side among the pair of parallel sides of the Trapezoid & Height of Trapezoid is the perpendicular distance between the pair of parallel sides of the Trapezoid.

How to calculate Area of Trapezoid?

Area of Trapezoid formula is defined as the total quantity of plane enclosed by the boundary of the Trapezoid is calculated using Area of Trapezoid = ((Short Base of Trapezoid+Long Base of Trapezoid)/2)*Height of Trapezoid. To calculate Area of Trapezoid, you need Short Base of Trapezoid (B_Short), Long Base of Trapezoid (B_Long) & Height of Trapezoid (h). With our tool, you need to enter the respective value for Short Base of Trapezoid, Long Base of Trapezoid & Height of Trapezoid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Area of Trapezoid?

In this formula, Area of Trapezoid uses Short Base of Trapezoid, Long Base of Trapezoid & Height of Trapezoid. We can use 2 other way(s) to calculate the same, which is/are as follows -

Area of Trapezoid = Central Median of Trapezoid*Height of Trapezoid
Area of Trapezoid = ((Perimeter of Trapezoid-(Short Leg of Trapezoid+Long Leg of Trapezoid))*Height of Trapezoid)/2

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