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To find the least and greatest possible perimeters of a rectangle with an area of 42 square feet, we need to identify the pairs of whole numbers (length and width) that multiply to 42. The pairs are (1, 42), (2, 21), (3, 14), (6, 7). The perimeter is calculated as ( P = 2(\text{length} + \text{width}) ). The least perimeter is from the pair (6, 7), giving ( P = 26 ), while the greatest perimeter is from the pair (1, 42), giving ( P = 86 ).

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2w ago

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