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Banking And Insurance

Bank PO Prelims

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Maths / Mensuration / Area of a Parallelogram
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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}


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