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 a square has a perimeter of 64 cm, what is its area?

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If the perimeter of a square is 36 cm, what is the length of its diagonal?

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

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A number is increased by 20% and then decreased by 10%. What is the net change?

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If the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?

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What is the square root of 0.25?

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If sin(A) = 1/2 and A is acute, what is the value of A?

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

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If a:b = 7:9 and b:c = 5:6, what is a:c?

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The sides of a triangle are 7, 24, and 25. Is this a right triangle?

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