Which has a larger perimeter ,a 20-inch by 32-inch rectangle or a 28-inch square

I'm sure you can figure it out.

P = 2L + 2W

To determine which shape has a larger perimeter, we need to calculate the perimeter of each shape and compare the results.

1. Rectangle: A rectangle has two pairs of sides. In this case, the dimensions are 20 inches by 32 inches.
The formula to calculate the perimeter of a rectangle is:
Perimeter = 2 * (length + width)

Plugging in the values:
Perimeter = 2 * (20 + 32) = 2 * 52 = 104 inches

2. Square: A square has all sides equal in length. In this case, the square has sides measuring 28 inches.
The formula to calculate the perimeter of a square is:
Perimeter = 4 * side length

Plugging in the value:
Perimeter = 4 * 28 = 112 inches

Comparing the calculations, we find that the square with a 28-inch side length has a larger perimeter (112 inches) compared to the rectangle with dimensions 20 inches by 32 inches (104 inches).