Question

The diagonals of a quadrilateral is 20 metre in length and the perpendiculars to it from the opposite vertices Are 8.5 and 11 metre. find the area of quadrilateral

Answer 1

Answer:

${\huge {\underline {\purple {\mathbb {ANSWER}}}}}$

Given ABCD is a quadrilateral with AC=20cm and BP=9cm & OD=15cm and BP⊥AC & OD⊥AC

area of ΔABC=21×AC×BP=21×20×9=90cm2

[Area of ΔABC−90cm2]

Area of ΔADC=21×AC×OD=21×20×15=150cm2

Area of [ΔADC=150cm2]

Area of quadrilateral =area of ΔADC+ area of Δ ABC

=90+150

Area of quadrilateral (ABCD)=240cm2

Hence area of quadrilateral ABCD is 240cm2