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.
Answer & explanation
Correct answer: option 4
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