The perimeter of a rectangular outdoor patio is 66 ft. the length is 5 ft greater than the width. what are the dimensions of the patio?

Since the perimeter us 66 ft and the length is 5 ft greater than the width, it can be said as:

66 ft = 5x ft + 5x ft + x ft + x ft

66 being perimeter, 5x being length, and x being width. This equation would then be simplified to:

66 ft = 10x ft + 2x ft
66 ft = 12x ft

Then using the simplified equation, you could then find x by dividing 66 by 12:

66 ft = 12x ft
5.5 ft = x ft

Using what has been found to be x, you would then just plug into the length and width equations:

5.5 ft = width

and

5 x 5.5 ft = 27.5 ft = length

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No solution : there is no number of boxes that she bought