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Area of Trapezoid is the total quantity of plane enclosed by the boundary of the Trapezoid. Check FAQs
A=(P-(LShort+LLong))h2
A - Area of Trapezoid?P - Perimeter of Trapezoid?LShort - Short Leg of Trapezoid?LLong - Long Leg of Trapezoid?h - Height of Trapezoid?

Area of Trapezoid given Perimeter and Both Legs Example

With values
With units
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Here is how the Area of Trapezoid given Perimeter and Both Legs equation looks like with Values.

Here is how the Area of Trapezoid given Perimeter and Both Legs equation looks like with Units.

Here is how the Area of Trapezoid given Perimeter and Both Legs equation looks like.

80Edit=(40Edit-(9Edit+11Edit))8Edit2
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Area of Trapezoid given Perimeter and Both Legs Solution

Follow our step by step solution on how to calculate Area of Trapezoid given Perimeter and Both Legs?

FIRST Step Consider the formula
A=(P-(LShort+LLong))h2
Next Step Substitute values of Variables
A=(40m-(9m+11m))8m2
Next Step Prepare to Evaluate
A=(40-(9+11))82
LAST Step Evaluate
A=80

Area of Trapezoid given Perimeter and Both Legs Formula Elements

Variables
Area of Trapezoid
Area of Trapezoid is the total quantity of plane enclosed by the boundary of the Trapezoid.
Symbol: A
Measurement: AreaUnit:
Note: Value should be greater than 0.
Perimeter of Trapezoid
Perimeter of Trapezoid is the total length of all the boundary lines of the Trapezoid.
Symbol: P
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Short Leg of Trapezoid
Short Leg of Trapezoid is the shorter side among the pair of non parallel and opposite sides of the Trapezoid.
Symbol: LShort
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Long Leg of Trapezoid
Long Leg of Trapezoid is the longer side among the pair of non parallel and opposite sides of the Trapezoid.
Symbol: LLong
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Height of Trapezoid
Height of Trapezoid is the perpendicular distance between the pair of parallel sides of the Trapezoid.
Symbol: h
Measurement: LengthUnit: m
Note: Value should be greater than 0.

Other Formulas to find Area of Trapezoid

​Go Area of Trapezoid given Central Median
A=Mh
​Go Area of Trapezoid
A=(BShort+BLong2)h

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

Area of Trapezoid given Perimeter and Both Legs evaluator uses Area of Trapezoid = ((Perimeter of Trapezoid-(Short Leg of Trapezoid+Long Leg of Trapezoid))*Height of Trapezoid)/2 to evaluate 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 evaluate Area of Trapezoid given Perimeter and Both Legs using this online evaluator? To use this online evaluator for Area of Trapezoid given Perimeter and Both Legs, enter Perimeter of Trapezoid (P), Short Leg of Trapezoid (LShort), Long Leg of Trapezoid (LLong) & Height of Trapezoid (h) and hit the calculate button.

FAQs on Area of Trapezoid given Perimeter and Both Legs

What is the formula to find Area of Trapezoid given Perimeter and Both Legs?
The formula of Area of Trapezoid given Perimeter and Both Legs is expressed as Area of Trapezoid = ((Perimeter of Trapezoid-(Short Leg of Trapezoid+Long Leg of Trapezoid))*Height of Trapezoid)/2. Here is an example- 80 = ((40-(9+11))*8)/2.
How to calculate Area of Trapezoid given Perimeter and Both Legs?
With Perimeter of Trapezoid (P), Short Leg of Trapezoid (LShort), Long Leg of Trapezoid (LLong) & Height of Trapezoid (h) we can find Area of Trapezoid given Perimeter and Both Legs using the formula - Area of Trapezoid = ((Perimeter of Trapezoid-(Short Leg of Trapezoid+Long Leg of Trapezoid))*Height of Trapezoid)/2.
What are the other ways to Calculate Area of Trapezoid?
Here are the different ways to Calculate Area of Trapezoid-
  • Area of Trapezoid=Central Median of Trapezoid*Height of TrapezoidOpenImg
  • Area of Trapezoid=((Short Base of Trapezoid+Long Base of Trapezoid)/2)*Height of TrapezoidOpenImg
Can the Area of Trapezoid given Perimeter and Both Legs be negative?
No, the Area of Trapezoid given Perimeter and Both Legs, measured in Area cannot be negative.
Which unit is used to measure Area of Trapezoid given Perimeter and Both Legs?
Area of Trapezoid given Perimeter and Both Legs is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Trapezoid given Perimeter and Both Legs can be measured.
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