Learning definition of parallelograms :
A parallelogram is a four-sided figure so as to have two pair of parallel sides. Opposite sides are similar and identical in length, and opposite angles are identical (angles "a" are the same, and angles "b" are the same). Every plane surfaces as of the floor of a space or church or of the ground surrounded by an enclosure an open space in a structure. The quantity of breathing space within the limit of a flat (2-dimensional) objects such as a triangle or circle
Understanding Areas of Parallelograms is always challenging for me but thanks to all math help websites to help me out.
Learning Properties and Conditions of Parallelograms:
Properties of Parallelograms:
The opposite sides are equal in length.
The opposite angles are similar.
The diagonals intersect all other.
NOTE: Squares, Rectangles and Rhombuses are each and every one Parallelogram.
Conditions to be a Parallelogram:
If quadrilaterals have two pair of similar sides, then it is a parallelogram.
If quadrilaterals have two pair of opposite sides of the equivalent lengths, then it is a parallelogram.
If two pair of opposite angle of a quadrilateral is the equivalent, then the figure is a parallelogram.
If the diagonal of a quadrilateral intersect each other, the figure is a parallelogram.
If a quadrilateral has one pair of opposed sides which are similar and equal in length, then the figure is a parallelogram.
Learning example for Area and Perimeter of Parallelograms:
Learning formulas of parallelograms :
Area of Parallelogram: = b × h , where b = breadth and h = height
Perimeter of Parallelogram:= 2 (b + h) and b=breadth and h=height.
Ex 1:Find the area of a parallelogram with a bottom of 12 centimeters and a height of 5 centimeters.
Solution:Area of Parallelogram = b x h = (12) * (5)
Area of parallelogram = 60 cm2
Ex 2:Find the area of a parallelogram with a bottom of 9 m and a height of 5 m.
Solution:Area of parallelogram = b x h = 9 x 5
Area of parallelogram = 45 m2
My forthcoming post is on Probability Distribution Examples and cbse 9th class books will give you more understanding about Algebra.
Problems based on perimeter of parallelogram
Ex 1:Find the Perimeter of a parallelogram with a bottom of 12 centimeters and a height of 5 centimeters.
Solution: Perimeter of parallelogram = 2 (b + h) = 2 (12 + 5)= 2 (17)
Perimeter of parallelogram = 34 centimeter
Ex 2:Find the Perimeter of a parallelogram with a bottom of 9 m and a height of 5 m.
Solution:Perimeter of parallelogram = 2 (b + h) = 2 (9 + 5) = 2 (14)
Perimeter of parallelogram = 28 m
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