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

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

**w = width of the garden**

w + 3 = length of the garden

w + 3 = length of the garden

**{length is 3 feet longer than width}**

A 2-foot-wide cement walkway surrounds the garden.

**w + 4 = width of the garden and walkway**{the walkway adds 2 feet to each side of the width}

**w + 7 = length of the garden and walkway**{the walkway adds 2 feet to each side of the length}

**Area of a rectangle = width x length**

(w + 4)(w + 7) = area of garden and walkway

**B.) the total area of the garden and walkway**

**Ask Algebra House**