The Properties of a Trapezoid

Definitions and formulas for the perimeter of a trapezoid, the area of a trapezoid, properties of the sides and angles of a trapezoid, properties of the sides and angles of an isosceles trapezoid
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perimeter of a trapezoid area of a trapezoid sides and angles
of a trapezoid
properties of the
isosceles trapezoid
   

 

The perimeter of a trapezoid:

trapezoid

To find the perimeter of a trapezoid, just add up all the lengths of the sides:

Perimeter = a + b + c + B

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The area of a trapezoid:

trapezoid

To find the area of a trapezoid...  The longer base (the bottom) is big B and the smaller base (the top) is little b...

Yeah, that's the formula...  But let's check out where it comes from!

Take two copies of the trapezoid (one blue trapezoid and one green trapezoid)... Tip one upside down and stick them together...  Now, you've got a parallelogram. 

Area of a parallelogram base x height 
                                    = ( B + b ) x h

But, this is double of what we need...  So, multiply by 1/2!

two trapezoids stuck together

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