Area of Parallelograms and Triangles

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  • (0:01) Height of Parallelogram: The height ($h$) is always perpendicular to the base and may lie inside or outside the parallelogram.
  • (0:40) Area of a Parallelogram: The formula is $A = b \times h$, where $b$ is the base and $h$ is the perpendicular height.
  • (1:15) Height of Triangle: Like in a parallelogram, the triangle’s height is perpendicular to the base and can lie inside or outside, extending from the base to the opposite vertex.
  • (1:52) Area of a Triangle: The area of a triangle is $A = \frac{1}{2} \times b \times h$, derived by visualising the triangle as half of a rectangle or parallelogram with the same base and height.

📂 Revision Cards

Height of a parallelogram illustrated with a perpendicular height h from base b to the opposite side.
1) Height of a Parallelogram
Diagram showing the formula for the area of a parallelogram, A = b?h, with labelled base (b) and height (h) on two parallelograms.
2) Area of a Parallelogram
Height of a triangle, with height h perpendicular to base b and extending from b to the opposite vertex, illustrated with two triangle diagrams.
3) Height Triangle
Formula for the area of a triangle with base and height labelled, showing two triangles with base (b) and height (h).
4) Area Triangle

🍪 Quiz Time - Practice Now!​

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Area of Parallelograms and Triangles

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Q: What is the formula for the area of a parallelogram?

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Q: What does the height of a triangle always do?

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Q: If the base of a parallelogram is 6 cm and the height is 4 cm, what is its area?

Yellow parallelogram with a base of 6 cm and a perpendicular height of 4 cm.

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Q: What is the area of this parallelogram?

Red parallelogram with a base of 8 cm and a perpendicular height of 5 cm.

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Q: What is the area of this triangle?

Green triangle with a base of 10 cm and a perpendicular height of 5 cm.

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Q: What is the area of the parallelogram shown in the image?

A blue parallelogram with a base measuring 6 cm and a slanted side measuring 14 cm.

 

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