Find the area of a rectangle having a perimeter of 182 yards and a width 20 yards shorter than twice its length

Let the length be in this equation.

We know that the perimeter of a rectangle is

Width is defined in terms of length, so we know

We can substitute this value of w into the formula for perimeter to find the length.











So the length is 37. Now that we've found the length, we can go back to the Perimeter formula again and find width.









Width is 54. Now with both of these values found, we can calculate area with the formula





So the area of the rectangle is 1998 yards^2.

Where’s the