You are enclosing a rectangular garden with 60 feet of ornamental fencing. the area of the garden is 200 square feet. what are the dimensions of the​ garden?

The perimeter is equal to 60 feet and has the formula: Perimeter = 2 l + 2 w 60 = 2 l + 2 w   The area is equal to 200 square feet and has the formula: Area = l w 200 = l w   Rewriting area in terms of l: l = 200 / w   Combining this with the perimeter formula: 60 = 2 (200 / w) + 2 w 60 = 400 / w + 2 w Multiplying all by w: 60 w = 400 + 2 w^2 Dividing by 2 and rearranging: w^2 – 30 w = - 200 Completing the square: (w – 15)^2 = - 200 + (-15)^2 (w – 15)^2 = 25 w – 15 = ±5 w = 10, 20   Hence the dimensions of the garden is 10 feet by 20 feet