Respuesta :

Answer:

63√6 cm

Explanation:

Perimeter is the total measure of all sides.

Solve:

15√6 + 12√54 + 6√24

factorize

15√6 + 12√6(9) + 6√6(4)

apply radical rule: √ab = √a √b

15√6 + 12√6 √9 + 6√6 √4

simplify

15√6 + 12(3)√6 + 6(2)√6

multiply

15√6 + 36√6 + 12√6

add similar terms

63√6

Answer:

  • 63√6 cm

Step-by-step explanation:

Perimeter : Sum of the sides

  • 15√6 cm is already in simplest form
  • 6√24 = 6√(4 × 6) = 6 x 2 x √6 = 12√6 cm
  • 12√54 = 12√(9 x 6) = 12 x 3 x √6 = 36√6 cm

Perimeter

  • 15√6 + 12√6 + 36√6
  • 27√6 + 36√6
  • 63√6 cm
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