The base is the side which is perpendicular to the height.

The perpendicular height is the perpendicular distance from the base to the opposite vertex.

Using the formula for the area of a triangle

Maths

Checking understanding of perimeter and area

Securing understanding of perimeter and area

Finding the perimeter of polygons

Calculating missing lengths with perimeter of polygons

Perimeter with composite rectilinear shapes

Area of a triangle

Area of composite rectilinear shapes

Calculating missing side lengths from the area of composite rectilinear shapes

Area of a trapezium

Calculating missing side lengths from the area of a trapezium

Problem solving with perimeter and area

In this unit pupils learn how to derive and use the formula for the area of a triangle and trapezium. In the future unit, this knowledge is called upon to find the volume of different prisms and area of composite shapes

In this unit, pupils explored the relationship between perimeter and area. In particular, they considered whether a shape can have the same area and perimeter value

In this unit pupils investigate how to calculate the area and perimeter of rectilinear shapes, and composite shapes using rectangles and triangles. They will also derive simple area formulae.

Perimeter and area

The base and height of this triangle measure:

Select the correct expression for the area of the triangle.

The perpendicular {{}} is the perpendicular distance from the base to the opposite vertex.

True or false? You can calculate the area of this triangle.

True or false? We can calculate the area of this triangle.

Calculate the area of a triangle with a base of 13 cm and a perpendicular height of 3 cm (you do not need to give the units).

Two {{}} triangles can always be placed together to create a parallelogram.

base $$\times$$ perpendicular height $$\times$$ 0.2

base $$\times$$ perpendicular height $$\div {1 \over 2}$$

Which of these is the correct way to calculate the area of this triangle?

Starter Quiz

The perpendicular is the perpendicular distance from the base to the opposite vertex.