Topic Details (Notes format)

How to Calculate the Area of a Parallelogram

Subject: Mathematics

Book: Maths Mastery

A parallelogram’s area is given by A = base × height. Unlike rectangles, a parallelogram’s sides can be slanted, but the height is always measured perpendicular to the base. For instance, if the base is 10 cm and the perpendicular height is 5 cm, the area is 10 × 5 = 50 cm². This formula is crucial in tasks ranging from designing slanted roofs to analyzing cross-sections in engineering. Knowing parallelogram area also aids in understanding more advanced figures like trapezoids and composite shapes. Mastering this concept offers a solid platform for both academic geometry and practical building projects.

Practice Questions

The simple interest on Rs. 4000 at 5% per annum for 2 years is:

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A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?

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The area of an equilateral triangle with side length 6 cm is:

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The perimeter of a rectangle is 50 cm, and its length is 15 cm. What is its width?

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A man spends 75% of his income and saves Rs. 600. What is his total income?

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How many diagonals does a pentagon have?

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What is the area of an equilateral triangle with side length 10 cm?

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If a + b = 10 and ab = 21, what is the value of a^2 + b^2?

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If x^2 + 4x + 4 = 0, what is the value of x?

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A cone has a base radius of 7 cm and height of 24 cm. What is its volume?

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