Rioluisarocker
Rioluisarocker Rioluisarocker
  • 25-01-2020
  • Mathematics
contestada

The perimeters of the square and the regular pentagon are equal.


What is the perimeter of each polygon?
A.12
B.15
C.42
D.60

The perimeters of the square and the regular pentagon are equal What is the perimeter of each polygon A12 B15 C42 D60 class=

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profarouk profarouk
  • 25-01-2020

Good evening ,

Answer:

D.60

Step-by-step explanation:

Perimeter of the the square = 4(3x+3) = 12x + 12

perimeter of the pentagon = 5(x+8) = 5x + 40

the perimeters are equal means 12x + 12 = 5x + 40

12x + 12 = 5x + 40 ⇔ 7x = 28 ⇔ x = 4

x=4 ⇒ 4(3x+3) = 4×15 = 60

      ⇒5(x+8) = 5(4+8) = 60

:)

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kgbvcvbb kgbvcvbb
  • 25-01-2020
The answer is d step by step
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