Question

Abcd is a parallelogram be is the height from b to dc nd bf is the height from b to ad if dc =12 cm nd be=7.6 cm find area of a parallelogram abcd nd bf if ad=8cm

Answer 1

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 =  $\frac{91.2}{8}$

⇒ BF = 11.4 cm  

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