the adjoining figure shows a field with the measurements given in metres calculate the area of the field
Answers & Comments
Arpp
In∆AMD,AD=base=AH+GH+DG=(8+18+14)m=40m area of ∆AMD=1/2×40×26m^2 =520m^2 area of ∆ABH=1/2×8×35m^2=140m^2 area of∆DGC=1/2×14×40m^2 =280m^2 area of trapezium BCGH=1/2×18×75m^2 =675m^2 area of the figure=(520+140+280+675)m^2 =1615m^2
Answers & Comments
area of ∆AMD=1/2×40×26m^2
=520m^2
area of ∆ABH=1/2×8×35m^2=140m^2
area of∆DGC=1/2×14×40m^2
=280m^2
area of trapezium BCGH=1/2×18×75m^2
=675m^2
area of the figure=(520+140+280+675)m^2
=1615m^2
Area of quadrilateral ABCDE is 1615 square metre.