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 x = 2 and y = 3, what is the value of (x^2 + y^2)?

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If x - y = 5 and x + y = 15, what is the value of x?

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The LCM of 12 and 15 is:

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If x:y = 4:5 and y:z = 2:3, what is x:z?

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The sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?

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What is the area of a circle with a diameter of 14 cm?

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If two complementary angles differ by 30°, what are the angles?

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If a rectangle has a length of 10 cm and a width of 6 cm, what is its perimeter?

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What is the sum of all angles in a hexagon?

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What is the 7th term of the arithmetic progression 3, 6, 9, 12,...?

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