ABCD is a quadrilateral in which diagonal BD = 70 cm, AL ⊥ BD and CM ⊥ BD such that AL = 18 cm and CM = 20 Find the area (in cm2) of the quadrilateral ABCD.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 1330.
Area of a quadrilateral = (1/2) × Diagonal × (Sum of perpendicular)
Diagonal (BD) = 70 cm
Perpendicular from A to BD (AL) = 18 cm
Perpendicular from C to BD (CM) = 20 cm
Area of quadrilateral ABCD = (1/2) × 70 × (18 + 20)
= (1/2) × 70 × 38
= 1330 cm2
Therefore, the area of the quadrilateral ABCD is 1330 cm2.