Area of Trapezoid given Perimeter and Both Legs Calculator

✖Perimeter of Trapezoid is the total length of all the boundary lines of the Trapezoid.ⓘ Perimeter of Trapezoid [P]			+10% -10%
✖Short Leg of Trapezoid is the shorter side among the pair of non parallel and opposite sides of the Trapezoid.ⓘ Short Leg of Trapezoid [L_Short]			+10% -10%
✖Long Leg of Trapezoid is the longer side among the pair of non parallel and opposite sides of the Trapezoid.ⓘ Long Leg of Trapezoid [L_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 given Perimeter and Both Legs [A]

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Formula

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Area of Trapezoid given Perimeter and Both Legs

Formula

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

Example

`"80m²"=(("40m"-("9m"+"11m"))*"8m")/2`

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Area of Trapezoid given Perimeter and Both Legs Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Trapezoid = ((Perimeter of Trapezoid-(Short Leg of Trapezoid+Long Leg of Trapezoid))*Height of Trapezoid)/2
A = ((P-(L_Short+L_Long))*h)/2
This formula uses 5 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.
Perimeter of Trapezoid - (Measured in Meter) - Perimeter of Trapezoid is the total length of all the boundary lines of the Trapezoid.
Short Leg of Trapezoid - (Measured in Meter) - Short Leg of Trapezoid is the shorter side among the pair of non parallel and opposite sides of the Trapezoid.
Long Leg of Trapezoid - (Measured in Meter) - Long Leg of Trapezoid is the longer side among the pair of non parallel and opposite 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

Perimeter of Trapezoid: 40 Meter --> 40 Meter No Conversion Required
Short Leg of Trapezoid: 9 Meter --> 9 Meter No Conversion Required
Long Leg of Trapezoid: 11 Meter --> 11 Meter No Conversion Required
Height of Trapezoid: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = ((P-(L_Short+L_Long))*h)/2 --> ((40-(9+11))*8)/2

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

Area of Trapezoid given Perimeter and Both Legs Formula

Area of Trapezoid = ((Perimeter of Trapezoid-(Short Leg of Trapezoid+Long Leg of Trapezoid))*Height of Trapezoid)/2
A = ((P-(L_Short+L_Long))*h)/2

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 given Perimeter and Both Legs?

Area of Trapezoid given Perimeter and Both Legs calculator uses Area of Trapezoid = ((Perimeter of Trapezoid-(Short Leg of Trapezoid+Long Leg of Trapezoid))*Height of Trapezoid)/2 to calculate the Area of Trapezoid, Area of Trapezoid given Perimeter and Both Legs formula is defined as the total quantity of plane enclosed by the boundary of the Trapezoid and calculated using the perimeter, and both legs of the Trapezoid. Area of Trapezoid is denoted by A symbol.

How to calculate Area of Trapezoid given Perimeter and Both Legs using this online calculator? To use this online calculator for Area of Trapezoid given Perimeter and Both Legs, enter Perimeter of Trapezoid (P), Short Leg of Trapezoid (L_Short), Long Leg of Trapezoid (L_Long) & Height of Trapezoid (h) and hit the calculate button. Here is how the Area of Trapezoid given Perimeter and Both Legs calculation can be explained with given input values -> 80 = ((40-(9+11))*8)/2.

FAQ

What is Area of Trapezoid given Perimeter and Both Legs?

Area of Trapezoid given Perimeter and Both Legs formula is defined as the total quantity of plane enclosed by the boundary of the Trapezoid and calculated using the perimeter, and both legs of the Trapezoid and is represented as A = ((P-(L_Short+L_Long))*h)/2 or Area of Trapezoid = ((Perimeter of Trapezoid-(Short Leg of Trapezoid+Long Leg of Trapezoid))*Height of Trapezoid)/2. Perimeter of Trapezoid is the total length of all the boundary lines of the Trapezoid, Short Leg of Trapezoid is the shorter side among the pair of non parallel and opposite sides of the Trapezoid, Long Leg of Trapezoid is the longer side among the pair of non parallel and opposite 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 given Perimeter and Both Legs?

Area of Trapezoid given Perimeter and Both Legs formula is defined as the total quantity of plane enclosed by the boundary of the Trapezoid and calculated using the perimeter, and both legs of the Trapezoid is calculated using Area of Trapezoid = ((Perimeter of Trapezoid-(Short Leg of Trapezoid+Long Leg of Trapezoid))*Height of Trapezoid)/2. To calculate Area of Trapezoid given Perimeter and Both Legs, you need Perimeter of Trapezoid (P), Short Leg of Trapezoid (L_Short), Long Leg of Trapezoid (L_Long) & Height of Trapezoid (h). With our tool, you need to enter the respective value for Perimeter of Trapezoid, Short Leg of Trapezoid, Long Leg 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 Perimeter of Trapezoid, Short Leg of Trapezoid, Long Leg 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 = ((Short Base of Trapezoid+Long Base of Trapezoid)/2)*Height of Trapezoid

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