In Fig. 15.104, ABCD is a rectangle in which CD = 6 cm, AD = 8 cm. Find the area of parallelogram CDEF.

Given that,

ABCD is a rectangle


CD = 6 cm


AD = 8 cm


We know that,


Area of parallelogram and rectangle on the same base between the same parallels are equal in area


So,


Area of parallelogram CDEF and rectangle ABCD on the same base and between the same parallels, then


We know that,


Area of parallelogram = Base * Height


Area of rectangle ABCD = Area of parallelogram


= AB * AD


= CD * AD (Therefore, AB = CD)


= 6 * 8


= 48 cm2


Hence,


Area of rectangle ABCD is 48 cm2


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