Calculate the area of a quadrilateral if one of its diagonals measures 20 cm and the perpendicular distances (offsets) from the diagonal to the opposite vertices are 9 cm and 6 cm.

Explanation

The area of the quadrilateral can be found by treating it as two triangles sharing the same diagonal. The formula is (1/2) × diagonal × (sum of the two offsets). Here, (1/2) × 20 × (9 + 6) = 10 × 15 = 150 square centimeters.