Q. 84.3( 9 Votes )

# is a parallelogram in which and its perimeter is 30 cm. Find the length of each side of the parallelogram.

Answer :

Here ABCD is parallelogram.

We know that the opposite sides of a parallelogram are parallel and equal.

Hence, *AB* = *DC* = 9.5 cm

Also let *BC = AD* = *x cm*

*Now,*

Perimeter of *ABCD* = 30 cm …(given)

∴ *AB + BC + CD + DA =* 30 cm

∴ 9.5 + *x* + 9.5 + *x* = 30

∴ 19 + 2*x* = 30

∴ 2*x* = 11

∴ *x* = 5.5 cm

Hence, length of each side is AB = DC = 9.5 cm and *BC = DA* = 5.5 cm

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