The diagonal of a quadrilateral shaped field is 24 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 13 m.

Area of upper triangle = 1/2 × height × base

= 1/2 × 13 × 24

= 156 m²

Area of lower triangle = 1/2 × height × base

= 1/2 × 8 × 24

= 96 m²

Area of the field = 156 + 96 = 252 m²