the length of a rectangular flower garden is twice the width of the garden.

Question

The two shorter sides and one of the longer sides have a 2-foot wide walking path the garden. Create a function A, where (Ax) represents the total area covered by the garden and the walking path given x represents the width of the garden.

 

 

how do i create and expression using this?

 

 

 

Answer 1

The dimensions of the rectangular garden are length = 2x  and width =x

 

The dimensions of the rectangular garden and the walkway is

  length = 2x+2 and width = x+4  <--- walkway is on only 1 length but bothwidths

 

  The area A(x) = (2x+2)(x+4)  =  2x^2 + 8x + 2x + 8 = 2x^2 + 10x + 8