Area of a Parallelogram
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.
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Illustration: Find the area of a parallelogram with a base of 12 centimeters and a height of 5 centimeters. Solution: Area = base x Corresponding Height A = (12 cm) x (5 cm) = 60 |
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Illustration: Find the area of a parallelogram with a base of 20 centimeters and a height of 15 centimeters.
Solution: Area = base x Corresponding Height
A = (20 cm) X (15 cm) = 300
Illustration: Find the area of a parallelogram with a base of 5.5 centimeters and a height of 1.5 centimeters.
Solution: Area = base x Corresponding Height
A = (5.5 cm) X (1.5 cm) = 8.25
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 | |||
| View Explanation | |||
Find the area of a parallelogram, its base is 35 meters and its altitude is 13 meters. | |||
| Right Option : A | |||
| View Explanation | |||
Find the area of a parallelogram with a base of 42 centimeters and a height of 17 centimeters. | |||
| Right Option : A | |||
| View Explanation | |||
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