ABCD is a quadrilateral. The length of the diagonal AC is 24 cm. The sum of the perpendicular drawn from vertex B and D on the diagonal AC is 10 cm. What is the area of the quadrilateral in cm2?
Answer & explanation
Correct answer: option 1
d = 24cm
h1 + h2 = 10cm
Area(Quadrilateral) = 1/2 x (h1 + h2) x d
here,
d = diagonal
(h1 + h2) = sum of heights
Let's put the given values in the above formula,
Area(Quadrilateral) = 1/2 x (h1 + h2) x d = 1/2 x 10 x 24 = 120