Question

Find the area of the field shown in Fig. 20.39 by dividing it into a square, a rectangle and a trapezium.

Answer 1

$\text{The given figure can be divided into a square, a parallelogram and a trapezium as shown in following figure:}$



$$\begin{gathered} \text{From the above figure:} \\ \text{Area of the figure=(Area of square AGFM with sides 4 cm)+(Area of rectangle MEDN with length 8 cm and width 4 cm)+(Area of trapezium NDCB with parallel sides 8 cm and 3 cm and perpendicular height 4 cm)} \\ \text{= (4×4)+(8×4)+[}\frac{1}{2}\text{×(8+3)×(4)]} \\ \text{= 16+32+22} \\ {\text{= 70 cm}}^2 \end{gathered}$$