In the given figure,ABCD is a parallelogram and CE perpendicular AD , DF perpendicular AB.If AD=20m,CE=8m,AB=16m,find DF.
Answers
If AD = 20m, CE = 8m, AB = 16m, then the length of DF is 10 m.
Step-by-step explanation:
It is given that,
ABCD is a parallelogram
Side AD = 20 m
Side CE = 8 m
Side AB = 16 m
CE ⊥ AD
DF ⊥ AB
We know that the formula of the area of a parallelogram is given by,
Area = Base × Perpendicular Height
Firstly, we have
Side AD = 20 m and the perpendicular height corresponding to this side will be CE which is 8 m.
∴ Area = AD × CE = 20 × 8 = 160 m²
Now, considering side AB which is 16 m and the corresponding perpendicular height of this side is DF.
∴ Area = AB × DF
⇒ 160 = 16 × DF
⇒ DF = 160/16
⇒ DF = 10 m
Thus, the length of DF is 10 m.
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