On a centimeter dot array, draw all possible rectangles with an area of 16 sq cm and sides whose lengths are whole centimeters. Label the lengths of two adherent sides of each rectangle

To draw all possible rectangles with an area of 16 sq cm on a centimeter dot array, we need to consider the factors of 16. The factors of 16 are 1, 2, 4, 8, and 16. Let's label the lengths of two adherent sides of each rectangle as length (L) and width (W).

Using these factors, we can calculate the length and width for each rectangle as follows:

1. Length = 16 cm, Width = 1 cm: Draw a rectangle that is 16 cm in length and 1 cm in width.

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2. Length = 8 cm, Width = 2 cm: Draw a rectangle that is 8 cm in length and 2 cm in width.

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3. Length = 4 cm, Width = 4 cm: Draw a square that is 4 cm on each side.

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4. Length = 2 cm, Width = 8 cm: Draw a rectangle that is 2 cm in length and 8 cm in width.

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5. Length = 1 cm, Width = 16 cm: Draw a rectangle that is 1 cm in length and 16 cm in width.

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