Word problem..Rectangular garden with a walkway around it?

Patrick Bitsui: "The length of your rectangular garden is 3 more than twice the width"assuming that is 3 feet more. L = length of garden, W = width of garden, A = area of gardenL = 2W + 3A = LW = W(2W + 3) = 2W² + 3WL₂ = length of garden+walks, W₂ = width of garden+walks, A₂ = area of garden+walksL₂ = L + 16W₂ = W + 16A₂ = (L + 16)(W + 16) = LW + 16W + 16L + 256substituting L = 2W + 3A₂ = (2W + 3)W + 16W + 16(2W + 3) + 256A₂ = 2W² + 3W + 16W + 32W + 48 + 256A₂ = 2W² + 51W + 304 ⬅Wallk Area = 2W² + 51W + 304 â€" (2W² + 3W)A₃ = 2W² + 51W + 304 â€" 2W² â€" 3WA₃ = 48W + 304 ⬅alternate approach to walk area. Divide it up into 8 pieces, 4 along the length and width, and 4 corner pieces. A₃ = 2(8•W) + 2(8•L) + 4(8•8)A₃ = 16W + 16L + 256subst L = 2W + 3A₃ = 16W + 16(2W + 3) + 256A₃ = 16W + 32W + 48 + 256A₃ = 48W + 304 ⬅....Show more