A square with a side of 3 cm was cut into strips 5 mm wide and the strips were laid
A square with a side of 3 cm was cut into strips 5 mm wide and the strips were laid out in one line. What is the perimeter of the resulting shape?
For the convenience of the calculation, we will translate all the values specified according to the condition of the problem into the same units of measurement – in millimeters. Since there are 10 millimeters in one centimeter, therefore:
3 cm = 3 * 10 = 30 mm side length of the square.
Now we will find how many stripes have turned out – we divide the length of the side of the square by 5 millimeters:
30: 5 = 6 strips
Thus, we will have 6 strips 30 mm long and 5 mm wide. Let’s find the total length of the resulting rectangle:
30 * 6 = 180mm
Now we can find the perimeter of a given rectangle 180 mm long and 5 mm wide:
2 * (180 + 5) = 2 * 185 = 370 mm
Answer: the perimeter of the resulting figure is 370 mm or 37 cm.