SOLUTION: Mary Contrary wants to build a rectangular flower garden surrounded by a walkway 4 meters wide. The flower garden will be 6 meters longer than it is wide. What kind of function is

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Question 912680: Mary Contrary wants to build a rectangular flower garden surrounded by a walkway 4 meters wide. The flower garden will be 6 meters longer than it is wide. What kind of function is the relationship between the width of the garden and the perimeter of the walkway? What kind of function is the relationship between the width of the garden and the area of the walkway?Create a representation for the relation
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
w for width of the flower garden
L for length of the flower garden
L=w+6

Note that walkway area, garden area, width, length all UNKNOWN.

Combined Area of Walkway and Garden: %28w%2B2%2A4%29%28L%2B2%2A4%29=%28w%2B8%29%28L%2B8%29=%28w%2B8%29%28w%2B6%2B8%29
%28w%2B8%29%28w%2B14%29.

Area of the garden: wL, or w%28w%2B6%29.

Perimeter of combined walk and garden: 2%28w%2B8%29%2B2%28w%2B14%29=2w%2B16%2B2w%2B28
4w%2B44.

Your two questions seem unclear, but more specific questions can be analyzed.
"Relationship between width of garden and one quantity or another".

Just the walkway area: %28w%2B8%29%28w%2B14%29-wL
%28w%2B8%29%28w%2B14%29-w%28w%2B6%29
w%5E2%2B22w%2B112-w%5E2-6w
16w%2B112---the walkway area, just walkway.