Question

Chris plans to mulch the Border surrounding a rectangular Garden in his backyard if the length of L of the garden (exculding its border) is 3 more than twice its width w and the width of the border is 1/4w which function repersents tje area A to be mulched in terms of w?

Answer 1

The answer by the sequence:

Width of the garden = w
Length of the garden  = 2w+3

Width of the entire plot = w + 0.5w = 1.5w
Length of the entire plot = (2w + 3) 0.5w = 2.5w + 3

Area of the garden = w (2w + 3) 
Area of the entire plot = 1.5w (2.5w + 3)

Area of the garden = 2w² + 3w
Area of the entire plot = 3.75w² + 4.5w

Area of border = area of the entire plot - area of the garden
                          = 3.75w² + 4.5w - (2w² + 3w)

Area of the border = 3.75w² + 4.5w - 2w² - 3w

Area of the border = 1.75w² + 1.5w