Q8 of 109 Page 300

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

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


More from this chapter

All 109 →
6

If an angle of a parallelogram is four-fifths of its adjacent angle, find the angles of the parallelogram.

 7

Find the measure of each angle of a parallelogram, if one of its angles is 30° less than twice the smallest angle.

 9

In each of the figures given below, is a rhombus. Find the value of and in each case.

 10

The lengths of the diagonals of a rhombus are 24 cm and 18 cm respectively. Find the length of each side of the rhombus.