I've been trying for an hour and i don't know how to set up this problem.

francois is a farmer who wants to build fences. specifically, he wants to fence in his wife's rectangular vegetable garden and their children's smaller rectangular herb garden. the ratio of the width of francois's wife's vegetable garden to its length is 5: 8, and the ratio of the width of the herb garden to its length is 3: 5. the length of the herb garden is, coincidentally, the same as the width of the vegetable garden. francois finds that he will need 252 ft of fencing materials to fence in the separate gardens. (the gardens do not touch one another, nor are they near any other fences or buildings that can take the place of fencing materials.) what are the dimensions (length and width) of each garden?

write a linear equation (hopefully in one variable) that could be used to solve this problem. (2pts)

define your variable(s). (1pt)

solve the equation for the variable that you have chosen. you need not show your work. (1pt)

respond to the question. (1pt)

(the formula for the perimeter of a rectangle is given as: p=2l+2w)