Step 1
Let’s assume a and b are the sides of the parallelogram. The perimeter of the parallelogram = 2( a+ b)
Step 2
According to the question, one side of the parallelogram exceeds the other side by 10 cm.
Therefore, a = b + 10
Step 3
Since, the perimeter of the parallelogram = 180 cm
Therefore, 2 ( a + b ) = 180
= 2 (b + 10 + b) = 180
= (2b + 10) = 180/2
= 2b = 90 – 10
= b = 80 /2
b = 40 cm
a = b + 10 = 40 + 10 = 50 cm
Hence, the sides of the parallelogram are 40 cm and 50 cm.