brianavaleus123 brianavaleus123
  • 29-04-2020
  • Mathematics
contestada

The measure of one side of a square is (x +4). What is the difference of the area of the square and the
perimeter of the square?
a. 2(x+4)
b. x(x +4)
c. 2x + 4

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 23-07-2020

Answer:

  b. x(x +4)

Step-by-step explanation:

The perimeter is 4 times the length of one side, so is ...

  P = 4(x +4)

The area is the square of the length of one side, so is ...

  A = (x +4)(x +4)

The difference in these values is ...

  A - P = (x +4)(x +4) - 4(x +4)

The latter factor can be factored out to give ...

  A - P = (x +4 -4)(x +4)

  A - P = x(x +4) . . . matches B

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