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The tile along the edge of a triangular community pool needs to be replaced.



Which expression represents the total perimeter of the pool edge?


12x^2 + 15

20x^2 + 25

12x^2 + 8x + 25

24x^2 + 16x + 50

The tile along the edge of a triangular community pool needs to be replacedWhich expression represents the total perimeter of the pool edge12x2 1520x2 2512x2 8x class=

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Answer:

Third option: 12x^2+8x+25

Step-by-step explanation:

s1=8x^2

s2=4x^2+15

s3=8x+10

Total perimeter of the pool edge: P

P=s1+s2+s3

Replacing s1, s2 and s3 in the formula above:

P=(8x^2)+(4x^2+15)+(8x+10)

P=8x^2+4x^2+15+8x+10

Adding like terms:

P=12x^2+8x+25

lublana

Answer:

[tex]12x^2+8x+25[/tex]

Step-by-step explanation:

We are given that

Perpendicular length side of triangle  =[tex]4x^2+15[/tex]

Base of triangle=[tex]8x+10[/tex]

Hypotenuse of right triangle =[tex]8x^2[/tex]

We have to find the expression which represents the total perimeter of the pool edge.

We know that

Perimeter of triangle=Sum of three sides of triangle

Substitute the values then we get

Perimeter of right triangular pool edge=[tex]4x^2+15+8x+10+8x^2[/tex]

Combine like terms

Perimeter of right triangular pool edge=[tex]12x^2+8x+25[/tex]

Hence, the perimeter of the pool edge is given by

[tex]12x^2+8x+25[/tex]

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