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Formula Sheet for Area of 2D Shapes RESOURCE (FREE DOWNLOAD)

Suitable for Year groups: 8, 9, 10

Formula Sheet for Area of 2D Shapes RESOURCE DESCRIPTION

This resource shows images of various 2D shapes alongside the formula for the area of each. Shapes included are: square, rectangle, triangle, trapezium, parallelogram, rhombus and kite.

Cazoom Maths Teaching Resources Formula Sheet For Area Of 2d Shapes1

This free resource provides a comprehensive reference sheet for calculating the area of 2D shapes. It’s ideal for Year Groups 7, 8, and 9 and can be used as a classroom poster, revision aid, or homework support tool.

How to Calculate the Area of Shapes

Square: The formula for the area of a square is Base × Height. Each side of a square is of equal length, so multiplying two sides provides the area.
Rectangle: For a rectangle, the formula is also Base × Height, where the base is the length and the height is the width of the rectangle.
Triangle: The area of a triangle is calculated using the formula: (Base × Perpendicular Height) ÷ 2. This method applies to any triangle, provided the height is perpendicular to the base.
Trapezium: The formula for the area of a trapezium is ((a + b) × Height) ÷ 2, where 'a' and 'b' are the lengths of the two parallel sides, and the height is the perpendicular distance between them.
Parallelogram: For a parallelogram, the area is found using Base × Perpendicular Height. The height must be perpendicular to the base for this formula to work.
Rhombus: The formula to calculate the area of a rhombus is (Length × Height) ÷ 2, where the height is perpendicular to the length.
Kite: The area of a kite is determined using the formula (Length × Height) ÷ 2, where the height is the perpendicular distance between the two diagonals.

Why Use This Formula Sheet?

Quick Reference: Saves time in lessons by providing instant access to key formulas.
Supports Learning: Simplifies complex calculations with clear, visual examples.
Versatile Use: Perfect for lessons, homework, or revision sessions.

Who Is This For?

Teachers: A helpful visual aid for explaining area calculations.
Students: Great for building confidence in geometry and problem-solving skills.
Parents: A useful guide for supporting homework and revision at home.

Benefits for Learners

Enhances understanding of geometry concepts.
Improves problem-solving and analytical skills.
Builds a strong foundation in 2D shape calculations.

RELATED TO Formula Sheet for Area of 2D Shapes WORKSHEET

Area of Trapezia (A)

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Area of Parallelograms

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Area of 2D shapes

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Area of Triangles

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How to Calculate the Area of Shapes

Square: The formula for the area of a square is Base × Height. Each side of a square is of equal length, so multiplying two sides provides the area.

Rectangle: For a rectangle, the formula is also Base × Height, where the base is the length and the height is the width of the rectangle.

Triangle: The area of a triangle is calculated using the formula: (Base × Perpendicular Height) ÷ 2. This method applies to any triangle, provided the height is perpendicular to the base.

Trapezium: The formula for the area of a trapezium is ((a + b) × Height) ÷ 2, where 'a' and 'b' are the lengths of the two parallel sides, and the height is the perpendicular distance between them.

Parallelogram: For a parallelogram, the area is found using Base × Perpendicular Height. The height must be perpendicular to the base for this formula to work.

Rhombus: The formula to calculate the area of a rhombus is (Length × Height) ÷ 2, where the height is perpendicular to the length.

Kite: The area of a kite is determined using the formula (Length × Height) ÷ 2, where the height is the perpendicular distance between the two diagonals.