how many different rectangles having an area of 81 square centimeters can you draw if the length and width have an integral value?

List the factors of 81: 1,3,9,27,81

Pair them up and you have the available dimensions.

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To find the different rectangles with an area of 81 square centimeters, we need to determine the integral values for the length and width.

First, let's list the factors of 81:

1 x 81 = 81
3 x 27 = 81
9 x 9 = 81
27 x 3 = 81
81 x 1 = 81

There are five different combinations of length and width that give an area of 81 square centimeters: (1, 81), (3, 27), (9, 9), (27, 3), and (81, 1).

Therefore, there are five different rectangles having an area of 81 square centimeters when the length and width have an integral value.