Question

BASED ON MENSURATION
Find the area of a quadrilateral whose diagonal is of length 70m and lengths of the perpendiculars
drawn from the opposite vertices on the diagonal are of lengths 42m and 50m respectively.

Answer 1

area of quadrilateral= sum of both area of both triangles
area of first triangle= 1/2xbxh=1/2x70x42=1470
area of second triangle=1/2xbxh=1/2x70x50=1750
area of aqudrilateral=1470+1750=3220m2

Answer 2

Ar. of quad. = 1/2 X d X ( h1 + h2 )

                    = 1/2 X 70 X ( 42 + 50 )

                     = 35 X 92

                       = 3220 m²