A dog park covers an area of 8.91 * 10^3 feet. The community park next to it covers the area of 2.6 * 10^3 feet. What is the total number of yards in the dog park and community park combined?

1 answer

To find the total area of the dog park and community park in yards, we first need to convert the areas from square feet to square yards. There are 9 square feet in 1 square yard.

  1. Calculate the area of the dog park in square yards: \[ \text{Area of dog park} = 8.91 \times 10^3 , \text{feet}^2 = 8,910 , \text{feet}^2 \] \[ \text{Area of dog park in square yards} = \frac{8,910 , \text{feet}^2}{9} = 990 , \text{yards}^2 \]

  2. Calculate the area of the community park in square yards: \[ \text{Area of community park} = 2.6 \times 10^3 , \text{feet}^2 = 2,600 , \text{feet}^2 \] \[ \text{Area of community park in square yards} = \frac{2,600 , \text{feet}^2}{9} \approx 288.89 , \text{yards}^2 \]

  3. Combine the areas of both parks: \[ \text{Total area in square yards} = 990 , \text{yards}^2 + 288.89 , \text{yards}^2 \approx 1278.89 , \text{yards}^2 \]

Thus, the total area of the dog park and community park combined is approximately 1278.89 square yards.