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The polynomial x^2 - 30x + 225 represents the area (in square feet) of a square courtyard.
Part 1: Factor the expression and write a polynomial that represents the side length of the courtyard.
Part II: Use the answer from Part I to write an expression for the perimeter of the courtyard.

Respuesta :

irspow

Answer:

Step-by-step explanation:

[tex]x^2-30x+225\\ \\ (x-15)^2, $ so the length of a side is 15ft. $ \\ \\ P=4x=4(15)=60, $so the perimeter is 60ft. $ [/tex]

mhanifa

Answer:

Given polynomial:

  • x² - 30x + 225

Part I

  • x² - 30x + 225 =
  • x² - 2*15*x + 15² =
  • (x - 15)²

Side length is

  • (x - 15) ft

Part II

Perimeter of the square:

  • P = 4(x - 15) = (4x - 60) ft