ABCD is a parallelogram BE is the height from B to DC and BF is the height from B to AD. if DC=12cm and BE=7.6cm.find
(1)=Area of a parallelogram ABCD.
(2)=BF,if AD=8cm.
Answers
Definition of Number Systems
Definition of Number SystemsA number system is defined as the representation of numbers by using digits or other symbols in a consistent manner. The value of any digit in a number can be determined by a digit, its position in the number, and the base of the number system.
Answer:
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 = \frac{91.2}{8}891.2
⇒ BF = 11.4 cm
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