Perimeter is in feet and not in square feet
The least perimeter is attained when the rectangle is, in fact a square. A square with an area of 32 square feet will have sides of sqrt(32) = 4*sqrt(2) ft. So the perimeter of the square will by 4*4*sqrt(2) = 16*sqrt(2) = 22.63 feet, approx.
The perimeter of the patio is 24 feet.
The shape which minimises the perimeter for a fixed area is a circle. A circle of radius 7.334 ft (approx) will have the required area and a perimeter (circumference) of just 46.084 ft. The quadrilateral with the smallest perimeter will be a square with sides of 13 feet: a perimeter of 4*13 = 52 feet. Any regular polygon with more than 4 sides will have a smaller perimeter, for the same area, than a square.
The area of a square with a perimeter of 12 feet is: 9 square feet.
47
Perimeter is in feet and not in square feet
48-ft
The least perimeter is attained when the rectangle is, in fact a square. A square with an area of 32 square feet will have sides of sqrt(32) = 4*sqrt(2) ft. So the perimeter of the square will by 4*4*sqrt(2) = 16*sqrt(2) = 22.63 feet, approx.
Perimeter is 36 feet.
Perimeter is 40 feet.
The area of a square with a perimeter of 22.33 feet is: 31.16 square feet.
To know the perimeter, you must know the dimensions (length and width). But there are many possible dimensions if you have 24 square feet.
The perimeter of a square with an area of 9 square feet is: 12 feet.
The perimeter of the patio is 24 feet.
81 square feet.
The perimeter is 92 feet.