GCSE maths – Area Concepts

GCSE Maths



Area is a very important and commonly asked topic in GCSE maths exam. It is always a good strategy to get a good hold on area concepts for the better understanding of other geometry concepts.  here we will discuss are of the following shapes: Triangle, Rectangle, Parallelogram, Trapezium and Circle.

Area is defined as the space covered inside a 2-dimensional  closed figure. It is generally measured in m^2 /cm^2/km^2.

When calculating areas remember to make sure that you use the same units of measurement e.g. M and write the correct square unit in your answer e.g. m^2.


The Areas of Shapes



We need to know the base length and height of the opposite vertex from that base:

Area  = Base * height.

triangle area

½ b is half the base length of the triangle and h is the height of the triangle. So you multiply ½ the base length by the height.



Area of rectangle can be calculated with the help of length and width.

Area of rectangle = Length * Width.

rectangle area

This means you just multiply the base length by the height.



For area of circle you just need to know the radius of the circle. The formula is given below in the image.

Area = pi*radius*radius.



For area of trapezium. We need to know the length of the parallel sides and the height of the trapezium.

Trapezium Area

Area of trapezium = (1/2)*height*(a+b)



For area of parallelogram we need to know the length of the base and the height from the base to the vertex.

parallelogram area

Area = base *height


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