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Sever21 [200]
3 years ago
12

If two similar polygons have perimeters of 36 and 21 inches.

Mathematics
1 answer:
jek_recluse [69]3 years ago
6 0

Answer:

91

Step-by-step explanation:

Two similar polygons, means a similarity would exist in both polygons

  • Perimeter of a rectangle = 2(l +w)
  • Perimeter of the larger rectangle = 36 (because it's the largest figure)
  • equation becomes  36 = 2(L + W)
  • since L = 14, it becomes = 36 = 2(14 +W)
  • 36 = 28 + 2W
  • 2W = 36 - 28 = 2w = 8
  • w = 4.

Now we assume that since the rectangles are similar, they would have similar dimensions, in this case Width. so with this, we find length  of smaller rectangle.

  • 21 = 2(L + 4) = 21 = 2L + 8
  • 2L = 21 - 8 = 2L = 13
  • L = 13/2 = 6.5.

lastly the product of the length of both polygons = 14 * 6.5 = 91.

Their Products length is 91

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