Question

in a parallelogram ABCD, AB is equal to 18 cm, BC is equal to 12 CM.AE perpendicular to DC, AF perpendicular to BC and if AE=6.4cm, find the length of AF.​

Answer 1

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Base, AB = 18 cm

Height, AL = 6.4 cm

∴ Area of the parallelogram ABCD = Base × Height

                                                   = (18 cm × 6.4 cm) = 115.2 cm2                    ... (i)

Now, taking BC as the base:

Area of the parallelogram ABCD = Base × Height

                                                     = (12 cm × AM)                          ... (ii)

From equation (i) and (ii):

12 cm × AM = 115.2 cm2

⇒ AM = 115.212cm

= 9.6 cm

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