ayokadkp04 ayokadkp04
  • 16-11-2017
  • Mathematics
contestada

A square has an area of 4x^{2} + 12xy + 9y^{2} square meters. What is the perimeter of the square?

Respuesta :

mathmate
mathmate mathmate
  • 06-06-2021

Answer:

Perimeter = 4L = 4(2x+3y) = 8x+12y

Step-by-step explanation:

Given:

square with area A(x,y) = 4x^2+12xy+9y^2

Find perimeter.

A(x,y) = (2x+3y)^2

Length of each side

L = sqrt( A(x,y) ) = sqrt((2x+3y)^2) = 2x+3y

Perimeter = 4L = 4(2x+3y) = 8x+12y

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