Question

The length of a rectangular flower garden is twice the width of the garden. The two shorter sides and one of the longer sides have a two-foot wide walking path bordering the garden.


Part A: Draw the rectangle and side lengths.


Part B: Create a function where, A(x) represents the total area covered by the garden and the walking path given x represents the width of the garden.


Part C. If the width of the garden is 3 feet, what is the total area of the garden and walking path?

Answer 1

Step-by-step explanation:

sorry it's too long

The length of a rectangular flower garden is twice the width of the garden. The two shorter sides and one of the longer sides have a two-foot wide walking path bordering the garden.

Part A: Draw the rectangle and side lengths.

Part B: Create a function where, A(x) represents the total area covered by the garden and the walking path given x represents the width of the garden.

Part C. If the width of the garden is 3 feet, what is the total area of the garden and walking path?

Answer 2

Answer:

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Step-by-step explanation:

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