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To find the area of one side of the suitcase, we need to determine its width using the Pythagorean theorem. Given that the length is 24 inches and the diagonal is 30 inches, we can calculate the width (w) as follows: ( w = \sqrt{30^2 - 24^2} = \sqrt{900 - 576} = \sqrt{324} = 18 ) inches. Therefore, the area of one side is ( 24 , \text{inches} \times 18 , \text{inches} = 432 , \text{square inches} ). Thus, 432 square inches of material is needed to cover one side of the suitcase.

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1mo ago

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