Topic Details (Notes format)

How to Calculate the Area of a Rectangle

Subject: Mathematics

Book: Maths Mastery

Rectangles form the basis of countless geometric and real-life applications, from plotting out rooms to determining the surface area of rectangular objects. The area formula is A = length × width. For example, a 12 m by 8 m rectangle has an area of 96 m². This simple calculation underlies more complex designs, such as floor plans or packaging materials. Grasping rectangular area helps you swiftly compute how much paint to buy for a wall or how large a garden bed is, making it indispensable in practical problem-solving.

Practice Questions

If the sum of the squares of two consecutive positive integers is 365, what are the integers?

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If a = 2 and b = 3, what is the value of (a^2 + b^2)?

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If 8x = 512, what is the value of x?

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If 3x = 81, what is the value of x?

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What is the sum of all even numbers between 1 and 50?

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If 2a + b = 10 and a - b = 4, what is the value of a?

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If the radius of a circle is doubled, what happens to its area?

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

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

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What is the HCF of 48 and 180?

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