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

If the sum of three consecutive integers is 96, what are the integers?

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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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What is the greatest common divisor (GCD) of 36 and 48?

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If a = 4 and b = 5, what is the value of (a+b)^2?

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If sin(A) = 3/5 and cos(B) = 5/13, where A and B are acute angles, what is sin(A+B)?

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What is the area of a sector of a circle with radius 14 cm and central angle 90°?

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

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