Danny has a yard in the shape of a parallelogram:

width- (50 m)
length- (60 m)
height- (60 m)
he want to split it into 3 pieces, with more than one type of shape. they should all have equal perimeter. the perimeter can not be in decimals.
(Help please)

To split Danny's yard into three pieces with equal perimeters, we need to find three shapes with different areas but the same perimeter. Let's find the possible combinations:

1. Parallelogram:
Given the dimensions of the yard, we already have a parallelogram shape. The perimeter of a parallelogram is given by the formula: perimeter = 2(length + width). In this case, the perimeter would be: 2(60 + 50) = 220m.

2. Rectangle:
A rectangle is a special type of parallelogram where all angles are right angles. Since we want the same perimeter, we need to find the dimensions of a rectangle with an area different from that of a parallelogram.

Let's work with the formula for the area of a rectangle: area = length × width. Since we know the perimeter is 220m and we want more than one type of shape, let's divide it into three equal parts: 220m ÷ 3 = 73.33m.

Now, let's find the factors of 73.33 to get different combinations for length and width:

- 73.33 × 1 ≈ 73.33 (length = 73.33m, width = 1m)
- 36.67 × 2 ≈ 73.33 (length = 36.67m, width = 2m)
- 24.44 × 3 ≈ 73.33 (length = 24.44m, width = 3m)
- 18.33 × 4 ≈ 73.33 (length = 18.33m, width = 4m)
- 14.67 × 5 ≈ 73.33 (length = 14.67m, width = 5m)
- 12.22 × 6 ≈ 73.33 (length = 12.22m, width = 6m)

These are some possible combinations for the rectangle.

3. Square:
A square is another option for achieving the same perimeter. Again, we need to find a square with a different area from the parallelogram. Since the perimeter is 220m, the formula for the perimeter of a square is: perimeter = 4 × side.

We can divide 220m by 4 to find the side length: 220m ÷ 4 = 55m.

Now, let's find the area of the square: area = side × side = 55m × 55m = 3025m².

By comparing the areas of each shape, we have:
- Parallelogram: area = length × width = 60m × 50m = 3000m².
- Rectangle (length = 73.33m, width = 1m): area = 73.33m × 1m ≈ 73.33m².
- Rectangle (length = 36.67m, width = 2m): area = 36.67m × 2m ≈ 73.34m².
- Rectangle (length = 24.44m, width = 3m): area = 24.44m × 3m ≈ 73.32m².
- Rectangle (length = 18.33m, width = 4m): area = 18.33m × 4m = 73.32m².
- Rectangle (length = 14.67m, width = 5m): area = 14.67m × 5m = 73.35m².
- Rectangle (length = 12.22m, width = 6m): area = 12.22m × 6m ≈ 73.32m².
- Square: area = side × side = 55m × 55m = 3025m².

From the above calculations, we can determine that the parallelogram and the square both have identical areas, while the rectangles have different areas. Therefore, the yard can be split into three pieces with equal perimeters using a parallelogram and a square.