Final answer:
To find the width and length of the rectangle, use the given information about the perimeter and the relationship between the length and the width. Substituting the values into the equations and solving, the width is 7 feet and the length is 19 feet.
Step-by-step explanation:
To find the width and length of the rectangle, let's use the given information:
The perimeter of a rectangle is 52. We know that the perimeter of a rectangle is given by the formula: P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.
So, we have: 52 = 2L + 2W. We are also given that the length of the garden is 5 feet more than twice the width, which can be expressed as: L = 2W + 5.
Substituting the value of L in the first equation, we get: 52 = 2(2W + 5) + 2W.
Simplifying, we have: 52 = 4W + 10 + 2W.
Combining like terms, we get: 52 = 6W + 10.
Subtracting 10 from both sides, we get: 42 = 6W.
Dividing by 6, we find: W = 7.
Substituting the value of W back into the equation for L, we get: L = 2(7) + 5 = 19.
Therefore, the width of the rectangle is 7 feet and the length is 19 feet.