Question

A quadrilateral has an area of $453.6m^2$. The length of a diagonal is 42 m and the perpendicular distance from one vertex to the diagonal is 10 m. The perpendicular distance from the other vertex to the diagonal is ___ .

Answer 1

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

Let the perpendicular distance from the other vertex be $x$.

Area of quadrilateral $=\frac{1}{2}\times 42\times 10+\frac{1}{2}\times 42\times x$

$453.6=\frac{1}{2}\times 42(10+x)$

$x=11.6m$.