The dimensions of a rectangle are such that its length is 3 inches more that its width. if the length and width were decreased by 1 inch, the area would be increased by 150inch sq. what are the length and width of the rectangle?

Let L be the length and W be the width. The equations that represents the given conditions are,
 (1)                      L = W + 3
 (2)                    A  = (L - 1) x (W - 1) = 150
                         A = (W + 3 - 1) x (W - 1) = 150
The value of W is 11.8389 in. The width is therefore, 11.8389 in and the length is 14.8389 in.