the ratio of two sides of a parallelogram are as 3:5 and its perimeter is 60cm.find the measures of all the sides

Let ABCD is a parallelogram.

Let AB = 5*x* cm and BC = 3*x* cm

now, CD = AB = 5*x *cm and AD = BC = 3*x* cm [Opposite sides of ||^{gm }are equal]

Perimeter of ABCD = AB + BC + CD + DA

60 = 5*x + *3*x + *5*x + *3*x = *16*x *

*⇒ x =* 60 / 16* = *15 / 4 = 3.75

so, AB = CD = 5 × 3.75 = 18.75 cm

AD = BC = 3 × 3.75 = 11.25 cm

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