Question

a quadilateral has an area of 40cm2 the lenghths of perpendiculars drawn from the opposite vertices on one of the diagonals of the quadrilateral are 5cm each find the length of the diagonal

Answer 1

Area=

$\large \sf \: \frac{1}{2} \times$

one diagonal×Sum of the lengths of the perpendiculars drawn from it on the remaining two vertices.

$\sf \: = \frac{1}{2} \times 25 \times (16.4 + 11.6)$

$\sf \: = \frac{25}{2} \times 28 = 25 \times 14 = 350sq.cm$