What will be the area of a plot of quadrilateral shape, one of whose diagonals is 20 m and lengths of the perpendiculars from the opposite vertices on it are 12 m and 18 m, respectively?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 300 m2
Given that
One of the diagonals of a quadrilateral is 20 m and lengths of the perpendiculars from the opposite vertices on it are 12 m and 18 m, respectively.
Formula used
Area of the quadrilateral = 1/2 × (sum of the perpendicular lengths) × Diagonal length
Calculation
Area = 1/2 × (OB + PD) × AC
Area = 1/2 × (12 + 18) × 20
= 1/2 × 30 × 20
= 300 m2