Answer:
The area of the lawn is 68 [tex]m^{2}[/tex].
Step-by-step explanation:
Area of lawn = Area of garden - (Area of triangle + Area of trapezium)
Area of garden = length x width
               = 14 x 10
              = 140 [tex]m^{2}[/tex]
Area of triangle = [tex]\frac{1}{2}[/tex] x base x height
             = [tex]\frac{1}{2}[/tex] x 3 x 8
             = 12 [tex]m^{2}[/tex]
Area of trapezium = [tex]\frac{1}{2}[/tex] (a + b) h
               = [tex]\frac{1}{2}[/tex](5 + 7) 10
                = 60 [tex]m^{2}[/tex]
So that;
Area of lawn = 140 - (12 + 60)
           = 140 - 72
           = 68 [tex]m^{2}[/tex]
The area of the lawn is 68 [tex]m^{2}[/tex].
