Area of a Parallelogram


 
 
Concept Explanation
 

Area of a Parallelogram

A parallelogram is a 4-sided shape formed by two pairs of parallel lines. Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height.

Area of parallelogram = b x h

where b is the base, h is the height

The base and height of a parallelogram must be perpendicular to each other. However, the lateral sides of a parallelogram are not perpendicular to the base. Thus, a dotted line is drawn to represent the height. 

Illustration: Find the area of a parallelogram with a base of 12 centimeters and a height of 5 centimeters.

SolutionArea  = base x Corresponding Height

A = (12 cm) x (5 cm) =  60 large cm^2

parallelogram

 

 

 Illustration: Find the area of a parallelogram with a base of 20 centimeters and a height of 15 centimeters.

SolutionArea  = base x Corresponding Height

               A = (20 cm) X (15 cm) = 300 cm^{2}

Illustration: Find the area of a parallelogram with a base of  5.5 centimeters and a height of 1.5 centimeters.

SolutionArea  = base x Corresponding Height

               A = (5.5 cm) X (1.5 cm) = 8.25 cm^{2}

Sample Questions
(More Questions for each concept available in Login)
Question : 1

If the length of one of the digonals of a parallelogram is 6.8 cm and the perpendicular distance of this diagonal from an opposite vertex is 7.5 cm, then find the area of the parallelogram.

Right Option : D
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Question : 2

In the adjoining figure, ABCD is a parallelogram  with AB = 8 cm  , BC = 6 cm and PQ perp AB .If PQ= 4 cm find the area of parallelogram ABCD.

Right Option : A
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Explanation
Question : 3

Find the area of a parallelogram with a base of 42 centimeters and a height of 17 centimeters.

Right Option : A
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Explanation
 
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