Mr. Lincoln is building a rectengular play area in the local park. The length of the play area is ninety-seven and one-half feet. The width of the play area is fifty-six feet. To keep xhildren from falling on a hard surface, the play area will be covered with recycled tire rubber. Recycled tire rubber is sold by the square yard. How many square yards of recycled tire rubber will be needed for the play area? If the company will only sell complete square yards of recycled tire rubber, how much should Mr. Lincoln buy?

Let's change the feet to yards

97.5 / 3 = 32.5 yards
56/3 = 18.67 yards

32.5 * 18.67 = _______ square yards

To find the number of square yards of recycled tire rubber needed for the play area, we need to calculate the total area of the play area in square feet and then convert it to square yards.

First, let's find the area of the play area:
Area = length × width
Area = 97.5 feet × 56 feet

To convert square feet to square yards, keep in mind that 1 yard is equal to 3 feet. Therefore, 1 square yard equals 3 feet × 3 feet = 9 square feet.

To convert the area from square feet to square yards, we need to divide the area by 9, because 1 square yard is equal to 9 square feet.

Now, let's calculate the area in square yards:
Area in square yards = (97.5 feet × 56 feet) / 9 square feet

Calculating this expression will give us the total area in square yards.