You just moved to a new city and bought a brand-new house. The plus side of your new house is your beautiful, big backyard. In your backyard you want to have the following: a swimming pool, a play...

You just moved to a new city and bought a brand-new house. The plus side of your new house is your beautiful, big backyard. In your backyard you want to have the following: a swimming pool, a play area for your kids, a fence for your dog and a patio so that you can entertain your friends.

The features in your backyard have the following dimensions: Your whole yard is 4840 yards by 2420 yards, but 9,565,250 square yards of this is woods. You want the area of your pool to be 314 meters
²
, and you would love to have a play area for your kids that is 33 feet by 48 feet. As far as a patio for your house, you would like it in the shape of a rectangle with the patio having a total perimeter of 68 feet with the length being 6 yards. Last but not least you are going to plant grass in your backyard everywhere, where the pool, play area, woods and patio are not located so that your dog has somewhere to play.

Given all the information about your backyard answer the following:

1. What is the area of your pool, kids play area and patio in square feet?** Round each to the nearest square foot.


2. How much grass in square feet do you need to plant in your yard?


3. If grass seed cost $11 a bag and a bag covers 3,300 square feet, how many bags of grass seed do you need to cover the whole yard, and how much will it cost you for grass seed? *Round up to the nearest bag of grass seed.


4. How many feet of fencing do you need for your yard if the whole yard (including the wooded area) is going to be surrounded by fencing. Explain how you got your answer.