Question

Find the area of each of the following fields. All dimensions are in metres.

Answer 1

(1) Area of the $\Delta DEI=1/2\times$ Base $\times$ Height
$$\begin{array}{cc}& \Rightarrow 1/2\times 60\times 40\\ & =1200m^2\end{array}$$
(2) Area of the Trapezium EF GI $=1/2\times ($ Sum of the two parallel sides $)\times$ Height
$$\begin{array}{cc}& \Rightarrow 1/2\times (60+50)\times 70\\ & \Rightarrow 1/2\times 110\times 70\\ & =3850m^2\end{array}$$
(3) Area of the $△AFG=1/2\times$ Base $\times$ Height
$$\begin{array}{cc}& \Rightarrow 1/2\times 50\times 50\\ & =1250m^2\end{array}$$
(4) Area of the TrapeziumABCH $=1/2\times ($ Sum of the two parallel sides $)\times$
Height
$$\begin{array}{cc}& \Rightarrow 1/2\times (40+30)\times 80\\ & \Rightarrow 1/2\times 70\times 80\\ & =2800\text{sqm}\end{array}$$
(5) Area of the $\Delta CDH=1/2\times$ Base $\times$ Height
The height of this figure is not clear in the image. I think it is $80m$ and I have assumed it $80m$.
$\Rightarrow 1/2\times 40\times 80$
$=1600m^2$

Total area $=$ Area of $△DEI+$ Area of the Trapezium EF GI $+$ Area of $△AFG+$ Area of Trapezium $ABCH+$ Area of $△CDH$
$\Rightarrow 1200+3850+1250+2800+1600$
$=10700m^2$
So, the area of the figure $ABCDEF$ is $10700m^2$