Area of quadrilaterals

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 \(= l \times b\)

\[= 5 \times 7\]

\[= 35{cm^2}\]

\[Area\,of\,triangle\,3 = \frac{1}{2}bh\]

\[= \frac{1}{2} \times 9 \times 7\]

\[= \frac{1}{2} \times 63\]

\[= 31.5c{m^2}\]

\[Total\,area = 7 + 35 + 31.5 = 73.5c{m^2}\]