Final answer:
To maximize the amount of light admitted through a window, we need to maximize the window area. The maximum area occurs when the width and length of the window are both 4 feet.
Step-by-step explanation:
To maximize the amount of light admitted through a window, we need to maximize the window area. Let's assume the window is rectangular with width x and length y.
The perimeter of the window is given as 16 feet, so we can write the equation 2x + 2y = 16.
To find the maximum area, we can solve for y in terms of x, substitute it back into the area formula, and then take the derivative with respect to x to find the value of x that maximizes the area. The maximum area occurs when x = y = 4 feet.