You can write two equations using the given information: .. L = W +8 .. L * W = 609 Using substitution, you get a quadratic. .. (W +8) * W = 609 .. W^2 +8W -609 = 0 Not surprisingly, you're looking for factors of 609 that differ by 8. .. 609 = 1*609 = 3*203 = 7*87 = 21*29 The last two are the factors of interest. .. (W +29)(W -21) = 0
The width of the rectangle is 21 feet, the length is 29 feet.
_____ Sometimes it is easier to work with the average dimension. Here, let that be x. Then you have .. (x +4)(x -4) = 609 .. x^2 -16 = 609 .. x^2 = 625 = 25^2 . . . . . . . one of your memorized math facts So, the dimensions are .. 25 +4 = 29 by 25 -4 = 21, that is, 29 ft by 21 ft.
if you divide both the soda and the waters ounces by their price than you will get 0.15 for the soda and 0.16 for the water showing that its 1 cent more expensive than the soda
