A rectangular hole 2 centimeters wide and x centimeters long is cut in a rectangular sheet of metal 5 centimeters wide and y centimeters long.
To find the remaining area after the rectangular hole is cut, we need to subtract the area of the hole from the area of the original sheet.
The area of the rectangular hole is calculated by multiplying its width by its length, which is 2 cm × x cm = 2x cm².
The area of the original sheet is calculated in the same way, which is 5 cm × y cm = 5y cm².
To find the remaining area, we subtract the area of the hole from the area of the original sheet:
Remaining Area = Area of Original Sheet - Area of Hole
Remaining Area = 5y cm² - 2x cm²
Remaining Area = 5y - 2x cm²
Therefore, the remaining area after cutting a rectangular hole with a width of 2 centimeters and a length of x centimeters in a rectangular sheet of metal with a width of 5 centimeters and a length of y centimeters is 5y - 2x cm².