A park has a rectangular playground area that has a length 66 feet and width of 42 feet. The park department has 75 yards of fencing material. Is there enough fencing material to enclose the playground area. Explain

1 yard = 3 feet

P = 2L + 2W
P = 2(22) + 2( 14)
P = 44 + 28
P = 72 yards

To determine if there is enough fencing material to enclose the playground area, we first need to find the perimeter of the rectangular playground.

Perimeter of a rectangle = 2 * (length + width)

Given that the length is 66 feet and the width is 42 feet, we can calculate the perimeter as follows:

Perimeter = 2 * (66 + 42) = 2 * 108 = 216 feet

Now, we need to convert the 216 feet into yards to compare it with the given amount of 75 yards of fencing material.

Since 1 yard is equal to 3 feet, we divide the perimeter (216 feet) by 3 to convert it into yards:

216 feet ÷ 3 = 72 yards

The perimeter of the rectangular playground is 72 yards.

Since the park department has 75 yards of fencing material, there is enough material to enclose the playground area, with some extra material left over.

Therefore, there is enough fencing material to enclose the playground area.