Question

12. A diagonal of a quadrilateral is 40 m long and the
perpendiculars to it from the opposite corners
are 8 m and 10 m respectively. Find its area. ​

Answer 1

Explanation:

area of quadrilateral

$= area \: of \: triangle1 + area \: of \: triangle2 \\ \\ = 1 \div 2 \times 40 \times 8 + 1 \div 2 \times 40 \times 10 \\ \\ = 160 + 200 \\ \\ = 360m {}^{2}$