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Semmy [17]
3 years ago
6

What is a simplified expression for the perimeter of the polygon?

Mathematics
2 answers:
serious [3.7K]3 years ago
7 0

Answer:

D. 5x^2 + 2y^2 + 12x + 5y

Step-by-step explanation:

6x + 2y + y^2 + 6x + 2y + y^2 + 4x^2 + x^2 + y

6x + 6x = 12x

12x + 2y + y^2 + 2y  + y^2 + 4x^2 + x^2 + y

2y + 2y + y = 5y

12x + 5y + y^2 + y^2 + 4x^2 + x^2

y^2 + y^2 = 2y^2

2y^2 + 4x^2 + x^2 + 12x + 5y

4x^2 + x^2 = 5x^2

2y^2 + 5x^2  + 12x + 5y

5x^2 + 2y^2 + 12x + 5y

alexandr1967 [171]3 years ago
3 0

Answer:

5 {x}^{2}  + 2 {y}^{2}  + 12x + 5y

Step-by-step explanation:

Add all of the sides of the polygon:

6x + 2y +  {y}^{2}  + 6x + 2y +  {y}^{2}  + 4 {x}^{2}  +  {x}^{2}  + y

Combine like terms.

12x + 5y + 2 {y}^{2}  + 5 {x}^{2}

5 {x}^{2}  + 2 {y}^{2}  + 12x + 5y

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