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

Question

Philoid · Accepted 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 + 2x = 30
∴ 2x = 11
∴ x = 5.5 cm

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