Question

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

• A. 2 : 2 : 1
• B. 1 : 1 : 2
• C. 1 : 2 : 1
• D. 4 : 2 : 1

Answer 1

The correct option is A

2 : 2 : 1

We know that

(i) parallelograms on the same base and between the same parallels are equal in area

(ii) area of parallelogram is twice the area of the triangle if the bases are equal 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 rectangle : area triangle = 2 : 2 : 1

Hence (A)