Answer:
68 m²
Step-by-step explanation:
The area of the lawn is calculated as
area of garden - area of flower bed - area of vegetable patch
Calculating the area of each
area of rectangular garden = 14 × 10 = 140 m²
area of flower bed = [tex]\frac{1}{2}[/tex] × 3 × 8 = 12 m²
area of vegetable patch = [tex]\frac{1}{2}[/tex] × 10 × (5 + 7) = 5 × 12 = 60 m²
Thus
area of lawn = 140 - 12 - 60 = 68 m²