Learn Class 9 Math - Areas of Parallelograms and Triangles

A parallelogram is an enclosed figure with four sides. The parallelogram is a figure whose opposite sides are equal.

A triangle is a figure enclosed from three sides and comes with different properties that help show the congruence of triangles, like SAS, SSS, ASA, AAS, and many other terms.

Area of parallelogram

• The area of the parallelogram considers two things, i.e., base and height.
• Parallelogram area = base x height.

Area of triangle

• The triangle area considers three things, i.e., base, height, and ½.
• Triangle area = ½ x base x height.

Problem: Evaluate the area of the parallelogram when the base and height are 15 ft. and 3 ft.

Solution:

It is given that base = 15 ft, and height = 3 ft

The specific formula for the area of parallelogram = base × height

= 15 × 3

= 45 ft^2

Problem: Evaluate the area of a triangle when the base and height are 20 ft. and 10 ft.

Solution:

It is given that base = 20 ft, and height = 10 ft

The formula for the triangle area = ½ x base x height.

Now, put base = 20 and height = 10 in the above formula, i.e.,

= ½ x 20 ×10

= 100 ft^2