Perimeter of Trapezoid given Area and Both Legs Calculator

✖Area of Trapezoid is the total quantity of plane enclosed by the boundary of the Trapezoid.ⓘ Area of Trapezoid [A]			+10% -10%
✖Height of Trapezoid is the perpendicular distance between the pair of parallel sides of the Trapezoid.ⓘ Height of Trapezoid [h]			+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%

✖Perimeter of Trapezoid is the total length of all the boundary lines of the Trapezoid.ⓘ Perimeter of Trapezoid given Area and Both Legs [P]

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Formula

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Perimeter of Trapezoid given Area and Both Legs

Formula

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

Example

`"41.25m"=(2*"85m²")/"8m"+"9m"+"11m"`

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Perimeter of Trapezoid given Area and Both Legs Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Trapezoid = (2*Area of Trapezoid)/Height of Trapezoid+Short Leg of Trapezoid+Long Leg of Trapezoid
P = (2*A)/h+L_Short+L_Long
This formula uses 5 Variables

Variables Used

Perimeter of Trapezoid - (Measured in Meter) - Perimeter of Trapezoid is the total length of all the boundary lines of the Trapezoid.
Area of Trapezoid - (Measured in Square Meter) - Area of Trapezoid is the total quantity of plane enclosed by the boundary 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.
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.

STEP 1: Convert Input(s) to Base Unit

Area of Trapezoid: 85 Square Meter --> 85 Square Meter No Conversion Required
Height of Trapezoid: 8 Meter --> 8 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (2*A)/h+L_Short+L_Long --> (2*85)/8+9+11

Evaluating ... ...

P = 41.25

STEP 3: Convert Result to Output's Unit

41.25 Meter --> No Conversion Required

FINAL ANSWER

41.25 Meter <-- Perimeter of Trapezoid

(Calculation completed in 00.004 seconds)

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< 2 Perimeter of Trapezoid Calculators

Perimeter of Trapezoid

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

Perimeter of Trapezoid given Area and Both Legs

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

Perimeter of Trapezoid given Area and Both Legs Formula

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

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 Perimeter of Trapezoid given Area and Both Legs?

Perimeter of Trapezoid given Area and Both Legs calculator uses Perimeter of Trapezoid = (2*Area of Trapezoid)/Height of Trapezoid+Short Leg of Trapezoid+Long Leg of Trapezoid to calculate the Perimeter of Trapezoid, Perimeter of Trapezoid given Area and Both Legs formula is defined as the total length of all the boundary lines of the Trapezoid, and calculated using the area and both legs of Trapezoid. Perimeter of Trapezoid is denoted by P symbol.

How to calculate Perimeter of Trapezoid given Area and Both Legs using this online calculator? To use this online calculator for Perimeter of Trapezoid given Area and Both Legs, enter Area of Trapezoid (A), Height of Trapezoid (h), Short Leg of Trapezoid (L_Short) & Long Leg of Trapezoid (L_Long) and hit the calculate button. Here is how the Perimeter of Trapezoid given Area and Both Legs calculation can be explained with given input values -> 41.25 = (2*85)/8+9+11.

FAQ

What is Perimeter of Trapezoid given Area and Both Legs?

Perimeter of Trapezoid given Area and Both Legs formula is defined as the total length of all the boundary lines of the Trapezoid, and calculated using the area and both legs of Trapezoid and is represented as P = (2*A)/h+L_Short+L_Long or Perimeter of Trapezoid = (2*Area of Trapezoid)/Height of Trapezoid+Short Leg of Trapezoid+Long Leg of Trapezoid. Area of Trapezoid is the total quantity of plane enclosed by the boundary of the Trapezoid, Height of Trapezoid is the perpendicular distance between the pair of parallel sides 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.

How to calculate Perimeter of Trapezoid given Area and Both Legs?

Perimeter of Trapezoid given Area and Both Legs formula is defined as the total length of all the boundary lines of the Trapezoid, and calculated using the area and both legs of Trapezoid is calculated using Perimeter of Trapezoid = (2*Area of Trapezoid)/Height of Trapezoid+Short Leg of Trapezoid+Long Leg of Trapezoid. To calculate Perimeter of Trapezoid given Area and Both Legs, you need Area of Trapezoid (A), Height of Trapezoid (h), Short Leg of Trapezoid (L_Short) & Long Leg of Trapezoid (L_Long). With our tool, you need to enter the respective value for Area of Trapezoid, Height of Trapezoid, Short Leg of Trapezoid & Long Leg 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 Perimeter of Trapezoid?

In this formula, Perimeter of Trapezoid uses Area of Trapezoid, Height of Trapezoid, Short Leg of Trapezoid & Long Leg of Trapezoid. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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