In Fig. 15.104, ABCD is a rectangle in which CD = 6 cm, AD = 8 cm. Find the area of parallelogram CDEF.
Answers
Given : ABCD is a rectangle in which CD = 6 cm, AD = 8 cm.
To find : Area of parallelogram CDEF.
Proof :
We know that, the area of parallelogram and rectangle on the same base between the same parallels are equal in area.
So, ||gm CDEF and rectangle ABCD are on the same base and between the same parallels, then
ar (||gm CDEF) = ar (rectangle ABCD)
ar (||gm CDEF) = AB × AD
[area of rectangle = length × breadth]
We know that,
ar (||gm CDEF) = Base × Height
ar (||gm CDEF) = CD × AD
[AB = CD]
ar (||gm CDEF) = 6 × 8
ar (||gm CDEF) = 48 cm²
Hence, the area of parallelogram CDEF is 48 cm².
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Answer:
Step-by-step explanation:
ar (||gm CDEF) = Base × Height
ar (||gm CDEF) = CD × AD
[AB = CD]
ar (||gm CDEF) = 6 × 8
ar (||gm CDEF) = 48 cm²