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Common Core Standard:  7.G.6  7th Grade Math
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Calculate the following:

  • Area of a rectangle
  • Area of a parallelogram
  • Area of a square
  • Perimeter of a parallelogram
  • Perimeter of a square
  • Perimeter of a rectangle

parallelogram area calculator
  • What is a parallelogram
  • Which sides of a parallelogram are parallel?
  • What are the properties of the angles of a parallelogram?
  • What are supplementary angles?
Related sites of Parallelograms

Properties of a parallelogram/Math Planet  Nice pictures,clear explanations, and a video

Parallelogram/bymath  Nice clear explanations of the properties of a parallelogram and pictures


Transcript
video tutorial area of a parallelogram
math and geometry calculator

Opposite sides of a parallelogram are congruent (equal length)

 

Opposite sides are parallel

 

Opposite angles of a parallelogram are congruent

 

Adjacent angles of a parallelogram are supplementary which means they equal

180 degrees

 

The area formula of a parallelogram

b x h

base x height

 

Note: The height is not side length.

Height = area/base or h = a/b

 

The perimeter formula

 

2(b + s)

b = base s = side

 

The diagonals intersect each other at the half way point

 

 

parallelogram with congruent sides

Properties of a Parallelogram

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​What is a parallelogram? First a parallelogram is a quadrilateral, and a polygon which means it is a closed two dimensional figure with four sides. Let's look at the properties that define a parallelogram.
parallelogram has parallel sides
opposite angles congruent
area parallelogram
perimeterparallelogram
adjacent angles supplementary
diagonals parallelogram
"A" and "B" add to 180 therefore they are supplementary

Parallelogram perimeter and area calculator

Area of Parallelogram Calculator
area parallelogram calculator
Hi Welcome to MooMooMath. Today we are going to talk about parallelograms. Before I look at the properties let’s see where the parallelogram fall in the quadrilateral family. A parallelogram is a four sided polygon which means it is a quadrilateral so it is under the big umbrella of quadrilaterals. So we are looking at the side of the quadrilateral family that are all parallelograms and under parallelograms fall these other figures, a rectangle and a rhombus and a square. Let’s look at the properties of just a parallelogram, a parallelogram has several properties. A definition of a parallelogram is that the opposite sides AT and MH would be parallel to each other and we will represent that with a symbol of an arrow, and MA and HT are also parallel Now some other properties are that the opposite angles are congruent meaning that if angle A is 180 degrees the angle opposite it would also be 180 degrees. So measure of angle A and same as the measure of angle H. Also, angle M would be congruent with angle T. The next property is that opposite sides are parallel. So MA is congruent (equal length) to HT and side AT is congruent to MH so they have the same length. So if this side is 5 then the opposite side is 5 and the same with AT and MH so if AT is 8 then MH is 8. Therefore opposite sides of a parallelogram are congruent. Then we have one more property and that is the adjacent angles (angles next to each other) are supplementary which means they add to 180. So if we know this angle is 100 then angle M must be 80.