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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.
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Solution
(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
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