Geometric skillsArea of a trapezium

Various formulae are used to calculate perimeter, area or volume. The order of rotational symmetry is how many times a shape fits into its original shape during a rotation of 360 degrees.

Part ofMathsGeometry

Area of a trapezium

Diagram of a trapezium split into 2 right-angled triangles and a rectangle

Area of triangle (1) \( = \frac{1}{2}bh\)

\(= \frac{1}{2} \times 2 \times 7\)

\(= \frac{1}{2} \times 14\)

\(= 7c{m^2}\)

Area of rectangle (2) \(= l \times b\)

\(= 5 \times 7\)

\(= 35{cm^2}\)

Area of triangle (3) \( = \frac{1}{2}bh\)

\(= \frac{1}{2} \times 9 \times 7\)

\(= \frac{1}{2} \times 63\)

\(= 31.5c{m^2}\)

Total area\( = 7 + 35 + 31.5 = 73.5c{m^2}\)