ABCD is a parallelogram, EBCF is a rectangle and BCG is a triangle between the same parallel lines. The ratio of area of parallelogram : area of rectangle : area of triangle is
2 : 2 : 1
We know that
(i) Parallelograms on the same base and between the same parallels are equal in area therefore, area of rectangle EBCF equals to area of parallelogram ABCD.
(ii) area of rectangle is twice the area of the triangle if the bases are equal and are between the same parallels
(iii) the parallelogram ABCD, rectangle EBCF and triangle BCG, have the same base BC and are between the same parallels
Area of parallelogram : area of rectangle : area of triangle = 2 : 2 : 1