Question

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

Answer 1

Join CE, so that which intersect AD at point E.

Given AE = ED = BC = 25 m and EC = AB = 30 m

Area of rectangle = length x breadth

Area of the rectangle ABCE = AB x BC

= 30 m x 25 m

= 750 m²

Area of triangle = ½ x base x height

Area of Triangle CED = ½ (EC x ED)

= ½ (30 m x 25 m)

= 375 m²

Hence, Area of the quadrilateral ABCD = (750 + 375) m² = 1125 m²