The area of quadrilateral is 336 and the perpendiculars drawn to one diagonal from the opposite vertices are 16 m and 12 m long. Find the length of this diagonal.
Explanation:
Area of a quadrilateral = ½ × diagonal × (sum of perpendiculars on this diagonal)
⇒ 336 = ½ × d × (16 + 12)
⇒ 336 = ½ × d × 28
⇒ 336 = 14 × d
⇒ d = 336/14 = 24
Hence, option (d).