Question

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Use the information to answer the following question.

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 perimeter of the walkway only

B. the area of the garden only

C. the perimeter of the garden only

D. the total area of the garden and walkway

Answer 1

D. the total area of the garden and walkway

Step-by-step explanation:

Sides of the rectangular garden:

w and w + 3

Add the width of the walkway, 2 feet from both sides, the total of 4 feet:

w + 4 and w + 7

The product of the above is the area of the garden and the walkway

Correct option is D

Hope this helps!

Answer 2

• D. the total area of the garden and walkway

Explanation:

Sides of the rectangular garden:

• w and w + 3

Add the width of the walkway, 2 feet from both sides, the total of 4 feet:

• w + 4 and w + 7

The product of the above is the area of the garden and the walkway

Correct option is D