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Here's a Python solution demonstrating nested functions to calculate the area of an outer rectangle minus the area of an inner rectangle:

def calculateinnerarea(length, width):
"""Calculates the area of a rectangle."""
area = length * width
return area
def calculateouterareaminusinner(outerlength, outerwidth, innerlength, innerwidth):
"""Calculates the area of the outer rectangle minus the area of the inner rectangle using a nested function."""
innerarea = calculateinnerarea(innerlength, inner_width)
outerarea = outerlength * outer_width
return outerarea - innerarea
# Example Usage:
outer_length = 10
outer_width = 8
inner_length = 4
inner_width = 6
result = calculateouterareaminusinner(outerlength, outerwidth, innerlength, innerwidth)
print(f"The area of the outer rectangle minus the inner rectangle is: {result}")

Explanation:

• calculateinnerarea(length, width): This is the inner function. It takes the length and width of a rectangle as input and returns its area.
• calculateouterareaminusinner(outerlength, outerwidth, innerlength, innerwidth): This is the outer function. It takes the dimensions of both rectangles as input. It calls the inner function calculateinnerarea() to calculate the area of the inner rectangle. It then calculates the area of the outer rectangle and subtracts the inner area from it, returning the result.