Maths Revision: Area of Shapes

This comprehensive guide focuses on maths revision area of shapes year 7 worksheets, providing essential formulas and examples for calculating the area of various 2D shapes. The page is structured to help students prepare for a maths test scheduled for 16/1/23.

The guide begins by presenting the formula for calculating the area of a rectangle, which is length multiplied by width. This fundamental concept serves as a foundation for understanding more complex shapes.

Definition: Area of a rectangle = length x width

Next, the guide introduces the formula for calculating the area of a parallelogram.

Formula: Area of parallelogram = base x perpendicular height

A visual representation of a parallelogram is provided, showing a 6cm base and a 2cm perpendicular height. This illustration helps students understand the concept of perpendicular height, which is crucial for accurate area calculations.

Highlight: The guide emphasizes the importance of using the perpendicular height, not the slanted side, when calculating the area of a parallelogram.

The formula for calculating the area of a triangle is then presented:

Formula: Area of triangle = 1/2 x base x perpendicular height

This formula is accompanied by a diagram showing a triangle with a 4cm base, reinforcing the concept visually.

Lastly, the guide covers the formula for calculating the area of a trapezium:

Formula: Area of trapezium = 1/2 x $a + b$ x h

Where 'a' and 'b' represent the lengths of the parallel sides, and 'h' is the perpendicular height. An example calculation is provided: 1/2 x $4 + 6$ x 2 = 10cm².

Example: For a trapezium with parallel sides of 4cm and 6cm, and a height of 2cm, the area is calculated as 10cm².

Vocabulary: Parallel lines are lines that never meet, while perpendicular lines meet at right angles.

This maths revision area of shapes year 7 questions and answers guide provides a comprehensive overview of area calculations for common 2D shapes, equipping students with the necessary knowledge to tackle area of shapes GCSE questions and area questions Year 7 with confidence.