in the parallelogram ABCD A B equal to 20 CM BC equal to 16 April 2020 CA perpendicular BC equal to 5.6 cm find the length of af
Answers
If AE is 5.6 cm then the length of AF is 4.48 cm.
Step-by-step explanation:
It is given that,
ABCD is a parallelogram and we know that opposite facing sides of a parallelogram are equal
So,
AB = CD = 20 cm
BC = AD = 16 cm
AE = 5.6 cm
AE ⊥ BC
AF ⊥ CD
We know that the formula of the area of a parallelogram is given by,
Area = Base × Perpendicular Height
Firstly, we have
Side BC = 16 cm and the perpendicular height corresponding to this side will be AE which is 5.6 cm.
∴ Area = BC × AE = 16 × 5.6 = 89.6 cm²
Now, considering the side CD which is 20 cm and the corresponding perpendicular height of this side is AF.
∴ Area = CD × AF
⇒ 89.6 = 20 × AF
⇒ AF = 89.6/20
⇒ AF = 4.48 cm
Thus, the length of AF is 4.48 cm.
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