Help your students prepare for their Maths GCSE with this free area of quadrilaterals worksheet of 31 questions and answers
Area is the amount of space covered by a 2D shape and is measured in square units (square millimetres, square centimetres and square metres). Many of the area formulae for different types of quadrilaterals (parallelograms, trapezoids, etc) are based on the area of a rectangle.
To work out the area of a rectangle we use the formula length width. The area of the square is calculated in the same way but as the side lengths of a square are all equal, we just need to multiply the side length by itself.
The formula for the area of a parallelogram is the same as the formula for the area of a rectangle. To work out the area of a parallelogram, we use the formula base perpendicular height. As a rhombus is a parallelogram with four equal sides, this formula also works to find the area of a rhombus.
The formula for the area of a trapezium or trapezoid is based on the area of a rectangle. To work out the area of a trapezium, we use the formula (a+b)h divided by 2, where h is the height of the trapezium and a and b are the lengths of the two parallel sides.
In addition to using integers for side lengths, decimals and fractions are also common when calculating area. Students may also be asked to apply multiplication of fractions to the area of quadrilaterals.
Area of a quadrilateral can be extended further to word problems or problems using compound shapes, and to applications involving algebraic expressions, forming and solving equations.
Looking forward, students can then progress to additional geometry worksheets, for example a 3D shapes, faces, vertices and edges worksheet or a surface area worksheet.
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