Answer:
Area of the field = 384
Step-by-step explanation:
Given:
diagonal = d = 32 m
perpendiculars dropped on it from the remaining opposite vertices:
h1 = 10 m
h2 = 14 m
Sum of perpendiculars:
h1 + h2 = 10 + 14
= 24
Area of the field = 1/2 x d x (h1 + h2)
= 0.5(32)(24)
Area of the field = 384 m²