Problemas
16. The perimeter of a parallelogram is 80 inches, and the length of 1 side is 16 inches. If it can be determined, what are the lengths, in inches, of the other 3 sides? E. 16,16,16 G. 16,16,32 H. 16,24,24 J. 16,32,32 K. Cannot be determined from the given information
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Guillermo
élite · Tutor durante 8 años
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(184 Votos)
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To solve this problem, we need to find the lengths of the other three sides of the parallelogram.Given information:- The perimeter of the parallelogram is 80 inches.- The length of one side is 16 inches.Let's denote the lengths of the sides of the parallelogram as follows:- Side 1: 16 inches- Side 2: x inches- Side 3: y inches- Side 4: z inchesThe perimeter of the parallelogram is the sum of the lengths of all four sides:Perimeter = Side 1 + Side 2 + Side 3 + Side 480 = 16 + x + y + zSince a parallelogram has opposite sides that are equal, we can write:Side 1 = Side 3Side 2 = Side 4Substituting the values, we get:80 = 16 + x + y + y80 = 16 + 2x + 2y64 = 2x + 2y32 = x + yNow, we can find the lengths of the other three sides:Side 2 = Side 4 = x + y = 32 inchesTherefore, the lengths of the other three sides are:16, 32, 32The correct answer is J.
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