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  • 14-10-2019
  • Mathematics
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The area of a square is 4x^2 + 24x + 36. What expression
represents the length of each side of the square

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MathPhys
MathPhys MathPhys
  • 14-10-2019

Answer:

2x + 6

Step-by-step explanation:

The area of a square is the square of the side length:

A = s²

We know that the area of the square is 4x² + 24x + 36.

4 is 2², and 36 is 6².  24 is double 2 times 6.

Therefore, this is a perfect square trinomial:

A = 4x² + 24x + 36

A = (2x + 6)²

Therefore:

s = 2x + 6

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