Answer: 25, 25, 50, 50
Step-by-step explanation: Hello! Because it is a parallelogram, there are two pairs of congruent sides. This means that if one of the sides is twice the size of the other, then the side congruent to the side that is twice the size of the smaller side is also twice the size of the smaller side.
Let's represent a as the two smaller sides and b as the two larger sides
2a = b, 2a + 2a = b + b, 1/2(b) = a
Since the parallelogram is 150 cm, you know that 100 + 50 = 150.
50 is half the quantity of 100 and both add up to 150.
You now know that a + a = 50 and b + b = 100
a = a and b = b.
Divide 50 and 100 by two to find the length of each side.
50/2 = 25, 100/2 = 50.
The lengths of each side of the parallelogram are: 25, 25, 50, 50.