ABCD is a parallelogram. BF is the height from B to DC and BE is the height from B to AD. If BF= 15.2 cm and DC= 24cm then find: BE, if AD = 16cm.
Answers
Answer:
Step-by-step explanation:
The area of a parallelogram abcd is 91.2 cm² and the length of BF is 11.4 cm.
Step-by-step explanation:
Referring to the figure attached below, we have,
ABCD is a parallelogram
DC = 12 cm
AD = 8 cm
BE = height from B to side DC = 7.6 cm
BF = height from B to side AD
We know that the formula of the area of a parallelogram is given by,
Area = Base × Altitude
Firstly, we have
Side DC = 12 cm and the perpendicular height corresponding to this side, BE which is 7.6 cm.
∴ Area of parallelogram ABCD = DC × BE = 12 × 7.6 = 91.2 cm²
Now, considering the side AD which is 8 cm and the corresponding perpendicular height of this side is BF.
∴ Area = AD × BF
⇒ 91.2 = 8 × BF
⇒ BF =
⇒ BF = 11.4 cm
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