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A square photograph has a side length of x + 8. It is
surrounded by a frame that is 2 inches wide all the way
around. Write a simplified expression for the area of
just the picture frame.

Respuesta :

348937889

Answer:

(x + 10)^2

Step-by-step explanation:

*It helps to draw a diagram for these types of questions

Side length of photograph: x + 8

Width of frame: 2 in.

Area of a square: s^2

A = ((x + 8) + 2)^2

= (x + 10)^2

Therefore the area of the photograph with the frame is (x + 10)^2

mhanifa

Answer:

  • 8(x + 10) or 8x + 80

Step-by-step explanation:

Area of the picture:

  • (x + 8)²

Side of the photograph with the frame:

  • (x + 8) + 2*2 =
  • x + 12

Area of the frame:

  • (x + 12)² - (x + 8)² =
  • (x + 12 + x + 8)(x + 12 - x - 8) =
  • (2x + 20)(4) =
  • 8(x + 10)

or

  • 8x + 80

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