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* It is unclear if the question is asking about two rectangles, each with a perimeter of 16, or two rectangles whose perimeters sum to 16. This answer assumes the former.

Other than the 4x4 square, which coincidentally has both a perimeter and area of 16, some examples would be:

1 x 7 rectangle : perimeter 16 in. , area 7 sq. in

2 x 6 rectangle : perimeter 16 in., area 12 sq. in

3 x 5 rectangle: perimeter 16 in., area 15 sq. in

You can calculate that for a given perimeter, the largest area is found in the square with a side measurement of P/4, i.e. the length and the width are the same.

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