If we let x and y represent length and width, respectively, then we can write equations according to the problem statement. .. x = y +2 .. xy = 3(2(x +y)) -1
This can be solved a variety of ways. I find a graphing calculator provides an easy solution: (x, y) = (13, 11).
The length of the rectangle is 13 inches. The width of the rectangle is 11 inches.
______ Just so you're aware, the problem statement is nonsensical. You cannot compare perimeter (inches) to area (square inches). You can compare their numerical values, but the units are different, so there is no direct comparison.
0 = 230 - 45x Add 45x to both sides 45x = 230 Divide both sides by 45 x = 230 / 45 Simplify x = 46 / 9 The solution represents the x intercept, which is where the graph intersects the x axis.