The area of quadrilateral is 336 m2 and the perpendiculars drawn to one diagonal from the opposite vertices are 16 m and 12 m long. Find the length of this diagonal.

28 cm 26 cm 21 cm 24 cm

24 cm

Area of quadrilateral PQRS = \(\frac{1}{2}\) × Diagonal QS × ( PT +  RU ) 336 = \(\frac{1}{2}\) × Diagonal QS × ( 12+  16 ) 336 =  Diagonal QS × 14 Diagonal QS = 24 cm