Chris plans to mulch the border surrounding a rectangular garden in his backyard. If the length, l, of the garden (excluding its border) is 3 more than twice its width, w, and the width of the border is , which function represents the area, A, to be mulched in terms of w?

A = 6w+6

Step-by-step explanation:

Hi, since the length (L) of the rectangular garden is equal to 3 more than twice its width: we have to multiply the width (w) by two , and add 3.

Mathematically speaking:

L = 2w+3

The area (A) of a rectangle is equal to:

A = 2L +2w

So, replacing the value of L by (2w+3)

A = 2 (2w+3) +2w

Simplifying

A = 2(2w) + 2 (3) +2w

A = 4w+6+2w

A = 6w+6