Question

In a triangle and a parallelogram are on the same base and between the same parallels then the ratio of the area of the triangle to the area of the parallelogram is

(a) 1:2

(b) 1:3

(c) 1:4

(d) 3:4

Answer 1

ANSWER:
(a) 1:2
If a triangle and a parallelogram are on the same base and between the same parallels, then the area of the
triangles is half the area of the parallelogram.
i.e., area of triangle = 12× area of parallelogram
∴ Required ratio = area of triangle : area of parallelogram =12 : 1 = 1 : 2