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Simplest Way Of Calculating The Area Of Parallelograms And Rhombi

Referencing Styles : Harvard | Pages : 1

RHOMBUS

Rhombus is considered as plane and closed figure with four sides in which opposite side are parallel to each other. The main properties of the rhombus is that it has all the four sides and opposite angles equal. Therefore, rhombus is a type of parallelogram.

Rhombus

AREA OF RHOMBUS

In order to calculate area of rhombus, there are three different way

  • If altitude and side of rhombus is known the formula will be

Area= Height × Side

Consider the area of square which is equal to side × side, like in rhombus being like square with all four side equal, but rhombus is tilted and there is need to consider the triangular part for which height is measured. Therefore, the easiest way to calculate area of rhombus is product of height and side.

  • If the length of the diagonal of the rhombus is known, area can be calculated by using the following formula: Area = (d1 × d2) / 2

 

Diagonal is of Rhombus is known to intersect each other and make right angles with each other. The diagonals can be assumed to be two side of square which is twice the size of Rhombus. Therefore, area of square is calculated by multiplying sides ie multiplication of diagonals d1 and d2 and dividing it with by 2.

  • If length and angle of one side is known in rhombus, area can be calculated by using trigonometry. Area of the rhombus would be S2  sin (∠A) = S2 sin (∠B) 

Where S is any side and A and B are angle of the rhombus.

 

It is only important to know the sin value of the one angle to calculate the area.

Parallelogram

Parallelogram is one of the type of quadrilateral with both side parallel to each other.

Parallelogram has following feature which is considered while calculating area:

  • The side of the figure are parallel to each other.
  • The side which are opposite to each other are congruent in nature.
  • The angles which are opposite to each other are also congruent.
  • The consecutive angles make angle of 1800.
  • The diagonal of the figure is known to bisect each other.

 

h is height and b is length of the base of the parallelogram as show in the diagram. Therefore, the easiest way to calculate the area is multiplication of height and base of the quadrilateral.

Area= H × B

The important thing to be consider while calculating area of parallelogram is that the base and height must be perpendicular to each other. It is seen in the figure, the lateral line are not perpendicular to base of the figure hence, imaginary line is drawn in the figure to represent it as height.

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