A strip with a width of y cm was cut from a square with a side length of 50 cm, the perimeter

A strip with a width of y cm was cut from a square with a side length of 50 cm, the perimeter of the remaining piece is 150 cm.

Since a strip with a length of cm was cut from a square with a side of 50 cm, therefore, a rectangle with a side of 50 and 50 cm was obtained.

The perimeter of a rectangle with sides a and b is: 2 * (a + b).

Let’s substitute the obtained values:

2 * (50 + 50 – y) = 2 * (100 – y).

Since it is known that the perimeter is 150 cm, therefore:

2 * (100 – y) = 150.

200 – 2 * y = 150.

2 * y = 200 – 150.

2 * y = 50.

y = 50/2.

y = 25.

The width of the strip is 25 cm.

Answer: 25 cm.