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Question

The area of a rectangular garden is 256 square meters. List all possible whole number dimensions that the garden can have.

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Solution

The dimensions of the garden can be found by finding the factor pairs of the number 256.
The various factor pairs of 256 are as follows:
256 = 1 × 256
256 = 2 × 128
256 = 4 × 64
256 = 8 × 32
256 = 16 × 16

The various dimensions of the garden can be, (1, 256),(2, 128),(4, 64),(8, 32), and (16, 16).

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