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12 May, 04:21

1. A regular pentagon has side length 12 cm. The perimeter of the pentagon is 60 cm and the area is 247.7 cm2. A second pentagon has side lengths equal to 18 cm. Find the perimeter of the second pentagon.

2. The ratio of the areas of two similar polygons is 49:36. If the perimeter of the first polygon is 15 cm, what is the perimeter of the second polygon? Round to the nearest hundredth.

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Answers (2)
  1. 12 May, 04:45
    0
    I am not sure, but the answer of 1st question is 90.
  2. 12 May, 04:47
    0
    Step-by-step explanation:

    1) Since both regular pentagons are similar we have sides are proportional

    Perimeter of first pentagon = 60 cm

    One side = 60/5 = 12 cm

    Ratio of I pentagon side: II=12:18 = 2:3

    Perimeter ratio = 2:3

    2:3 = 60:x

    Hence x = 90 cm.

    Perimeter of second = 90 cm

    2) When areas have ratio 49:36

    sides will have ratio as square roots = 7:6

    Perimeter also ratio 7:6

    Hence 7:6 = 15:x

    x = Perimeter of II pentagon = 90/7 = 12.86 cm.
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