Question

In the given figure, if the area of triangle ADE is 60 cm², state, given reason, the area of :
(i) Parallelogram ABED;
(ii) Rectangle ABCF;
(iii) Triangle ABE.

Answer 1

(i) ΔADE and parallelogram ABED are on the same base AB and between the same parallels DE//AB, so an area of the triangle ΔADE is half the area of parallelogram ABED.

Area of ABED = 2 (Area of ADE) = 120 cm²

(ii)Area of the parallelogram is equal to the area of a rectangle on the same base and of the same altitude i.e, between the same parallels

Area of ABCF = Area of ABED = 120 cm²

(iii)We know that area of triangles on the same base and between same parallel lines are equal

Area of ABE = Area of ADE = 60 cm²