Question

The Perimeter of a Pallelogram is 140 cm

If one of the sides is longer than the other
by 10cm
find the length of each its side

Answer 1

30 cm, 40 cm, 30 cm, 40 cm

Explanation:

Let the sides of the parallelogram be x and (x + 10) cm

Perimeter of parallelogram = 140 cm

`2 \{x + (x + 10) \} = 140 \\ \\ \{x + x + 10 \} = (140)/(2) \\ \\ 2x + 10 = 70 \\ \\ 2x = 70 - 10 \\ \\ 2x = 60 \\ \\ x = (60)/(2) \\ \\ x = 30 \: cm \\ x + 10 = 40 \: cm \\`

Thus, length of each side of the parallelogram are 30 cm, 40 cm, 30 cm, 40 cm.