Let ABCD be a quadrilateral and AC, BD be diagonals. The length of BD 20 cm and the heights of the triangles ABD and BCD are 6 cm and 8 cm respectively. Find the area of the quadrilateral ABCD (in cm2).
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 140.
Area of triangle = ½ × base × height
According to the given question,
Area of quadrilateral ABCD = Area of triangle ABD + Area of triangle BCD
Area of triangle ABD = ½ × 20 × 6 = 60 cm2
Area of triangle BCD = ½ × 20 × 8 = 80 cm2
Required answer = 60 + 80 = 140 cm2