Question

Calculate the area of quadrilateral field ABCD as shown in Fig. 35, by dividing it into a rectangle and a triangle.

Answer 1

We have,
Join CE, which intersect AD at point E.

Here, AE = ED = BC = 25 m and EC = AB = 30 m
Area of the rectangle ABCE = AB x BC
= 30 m x 25 m
= 750 m²
Area of Δ CED = $\frac{1}{2}$x EC x ED
= $\frac{1}{2}$x 30 m x 25 m
= 375 m²
Hence,
Area of the quadrilateral ABCD = (750 + 375) m²
= 1125 m²