Question

A quadrilateral has an area of 453.6m². The length of a diagonal is 42 m and the perpendicular distance from one vertex is 10 m. The perpendicular distance from the other vertex is __

Answer 1

Area of a quadrilateral can be written as the sum of areas two triangles.

Let the perpendicular distance from the other vertex be x.

$Area=\frac{1}{2}\times 42\times 10+\frac{1}{2}\times 42\times x=453.6m^2$

x = 11.6m.