Parallelogram Properties

Parallelogram is one type of quadrilateral. It has four sides, in which the opposite sides are parallel and equal in length. The opposite internal angle of parallelogram is equal in measure. The diagram of parallelogram is shown in below.

parallelogram

Properties of parallelogram:

Length of opposite sides are equal.
Opposite angles are equal in measure.
Area of the parallelogram is the product of base and height.
The diagonals of a parallelogram intersect each other

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Area of the parallelogram (A) = base x height square units

= b x h square units

Perimeter of the parallelogram (P) = 2 (a + b)

a and b are adjacent sides of parallelogram

Parallelogram - Example problems:

1. Parallelogram has base 7cm and height 8cm. what is the area of parallelogram?

Solution:

Formula:

Area of the parallelogram (A) = b x h square units

Given:

Base=7cm;       height=8cm

= 7 x 8

= 56 cm2

Area of the parallelogram (A) = 56 cm2

2. Parallelogram has base 12cm and height 8cm. what is the area of parallelogram?

Solution:

Formula:

Area of the parallelogram (A) = b x h square units

Given:

Base= 12cm;    height= 8cm

= 12 x 8

= 96 cm2

Area of the parallelogram (A) = 96 cm2

3. The side length of two adjacent sides of parallelogram are 5cm and 6cm

What is the perimeter of the parallelogram?

Solution:

Given:

a = 5 cm

b = 6 cm

Perimeter of the of parallelogram (P) = 2 (a + b) square units

= 2 (5 + 6)

=2 x 11

= 22

Perimeter of the of parallelogram = 22 cm

4. The side length of two adjacent sides of parallelogram are 10cm and 12cm

What is the perimeter of the parallelogram?

Solution:

Given:

a = 10cm

b = 12 cm

Perimeter of the of parallelogram (P) = 2 (a + b) square units

= 2 (10 + 12)

=2 x 22

= 44

Perimeter of the of parallelogram = 44 cm

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Parallelogram - Practice problems:

1. Parallelogram has base 8cm and height 10cm. what is the area of parallelogram?

Answer: 80 cm

2. The side length of two adjacent sides of parallelogram is 3cm and 4cm.

What is the perimeter of the parallelogram?

Answer: 14 cm