30 !
a walkway surrounds a rectangular garden. the width of the garden is 8 feet, and the length is 6 feet. the width x of the walkway around the garden is the same on every side. write an expression that represents the total area of the garden and walkway.

  =4x^2 +28x+48

Step-by-step explanation:

Width of the garden is 8

There is walkway on each side of width so add x on each side

With the walkway is x+8+x = 2x+8

Length of the garden is 6

There is walkway on each side of length so add x on each side

With the walkway is x+6+x = 2x+6

The area of the garden is

A = lw

A = 8*6 = 48

The area of the walkway and garden is

A = lw

   = (2x+8) (2x+6)

   FOIL   (first outer inner last)

  = 4x^2 + 12x + 16x +48

  =4x^2 +28x+48

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