9. A rectangular garden has a length that is 3 feet longer than its width. Let w represent the width of the garden, in feet. The entire garden is surrounded by a 2-foot-wide cement walkway. What does the algebraic expression ( w+4)(w + 7) represent in this context?
A the area of the garden only
B. the total area of the garden and walkway
C. the perimeter of the garden only
D. the perimeter of the walkway only

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bangtan365sofresh bangtan365sofresh · Answer 1 · 2020-03-19T21:59:35+01:00

Answer:

B

Step-by-step explanation:

w=width

l=w+3

(w+4)=width+walkway(both sides)

(w+7)=length+walkway(both sides)

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raphealnwobi raphealnwobi · Answer 2 · 2021-12-14T09:37:43+01:00

The expression ( w+4)(w + 7) represent the total area of the garden and walkway

Let w represent the width of the garden, in feet.

The length is 3 feet longer than its width, hence:

Length = w + 3

The entire garden is surrounded by a 2-foot-wide cement walkway. Therefore:

Length of garden and walkaway= (w + 3) + 2 + 2 = w + 7

Width of garden and walkaway = w + 2 + 2 = w + 4

The area of garden and walkaway = length * width = (w + 7)(w + 4)

The expression ( w+4)(w + 7) represent the total area of the garden and walkway

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