A park is 300 yds by 500 yds. There is a 4 wide foot walking path going around the entire perimeter of the park. The rest of the park is green space. How much green space is there in the park?

since the 4-yd path is on both sides and both ends,

(300 + 8)(500 + 8) - 300*500 = ? yd^2

unless the path is 4 feet wide, in which case you need to change it some.

6464 yd^2*

To determine the amount of green space in the park, we first need to calculate the area of the park, including the walking path, and then subtract the area of the walking path from it.

The park is rectangular, with dimensions of 300 yards by 500 yards. To find the area, multiply the length by the width:

Area of the park = Length * Width = 300 yards * 500 yards = 150,000 square yards.

Now, let's calculate the area occupied by the walking path. Since the path is 4 feet wide, we need to convert it to yards. There are 3 feet in a yard, so 4 feet is equal to 4/3 yards.

To find the area of the path, we need to add the path's width to both the length and the width of the park:

Length of the park with the path = Length + 2 * Path Width = 300 yards + 2 * (4/3) yards.
Width of the park with the path = Width + 2 * Path Width = 500 yards + 2 * (4/3) yards.

Now, we can calculate the total area including the walking path:

Total area = Length of the park with the path * Width of the park with the path.

Using the above calculations:

Total area = (300 yards + 2 * (4/3) yards) * (500 yards + 2 * (4/3) yards).

After calculating the above expression, we get the area of the park including the walking path.

Finally, subtracting the area of the walking path from the total area will give us the green space.

Green space = Total area - Area of the walking path.

So to determine how much green space is there in the park, we need the actual values of the various components (Length, Width, and Path Width) to perform the calculations.

6465 yd^2, do we divide by 4 now?

Oops. I added the path to the dimensions; I should have subtracted. The green area is inside the path.

(300 - 8)(500 - 8) = 143664 yd^2

Thank you oobleck.