In geometry, a parallelogram is a quadrilateral with the two pairs of parallel sides. In Euclidean Geometry, the opposites or facing sides of a parallelograms are of equal length and the opposite angles of a parallelogram are of equal measure. The congruences of opposite sides and opposite angles are a direct consequence of the Euclidean Parallel Postulate and neither condition can be proven without appealing to the Euclidean Parallel Postulate or one of its equivalent formulations. The three-dimensional counterparts of a parallelogram is a parallelepiped.(Source.Wikipedia)

Area of parallelograms A = b * h sq. units

where h is the perpendicular height of the parallelogram.

b is the base length of the parallelogram.

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Find the area of the rhombus whose base is 150cm and the perpendicular height will be equal to 150cm.

H=150cm

B=150cm

Area = b*h

= 150*150

= 22500cm2

Find the Area of a Parallelogram with a base of 12 centimeters and a height of 15 centimeters.

A=b*h

A= (12 cm) · (15 cm)

A= 180 cm2

Find the area of a parallelogram with a base of 8 inches and a height of 14 inches.

A=b*h

A= (8 in) · (14 in)

A= 112 in2

The area of a parallelogram is 30 square centimeters and the base is 60 centimeters. Find the height.

A=b*h

30 cm2 = (60 cm) · h

30 cm2 ÷ (60 cm) = h

h= 0.5 cm

The area of a parallelogram is 100 square centimeters and the base is 50 centimeters. Find the height.

A=b*h

100 cm2 = (50 cm) · h

100 cm2 ÷ (50 cm) = h

h= 2 cm.

These are the examples on parallelogram with four equal sides.

**Parallelogram with Equal Sides are Square and Rhombus:****Parallelograms:**Area of parallelograms A = b * h sq. units

where h is the perpendicular height of the parallelogram.

b is the base length of the parallelogram.

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**Examples for Parallelogram with Equal Sides:**

**Example 1:**

Find the area of the rhombus whose base is 150cm and the perpendicular height will be equal to 150cm.

**Given:**

H=150cm

B=150cm

**Solution:**

Area = b*h

= 150*150

= 22500cm2

**Example 2:**

Find the Area of a Parallelogram with a base of 12 centimeters and a height of 15 centimeters.

**Solution:**

A=b*h

A= (12 cm) · (15 cm)

A= 180 cm2

**Example 3:**

Find the area of a parallelogram with a base of 8 inches and a height of 14 inches.

**Solution:**

A=b*h

A= (8 in) · (14 in)

A= 112 in2

**Example 4:**

The area of a parallelogram is 30 square centimeters and the base is 60 centimeters. Find the height.

**Solution:**

A=b*h

30 cm2 = (60 cm) · h

30 cm2 ÷ (60 cm) = h

h= 0.5 cm

**Example 5:**

The area of a parallelogram is 100 square centimeters and the base is 50 centimeters. Find the height.

**Solution:**

A=b*h

100 cm2 = (50 cm) · h

100 cm2 ÷ (50 cm) = h

h= 2 cm.

These are the examples on parallelogram with four equal sides.

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