Answer:
a. To find the cost to surround the forest with a fence, we first need to determine the perimeter of the forest. The problem tells us that the perimeter is 45 yd. To convert this to feet, we can use the conversion factor of 3 feet per 1 yard. So, the perimeter in feet is:
45 yd x (3 ft/1 yd) = 135 ft
Next, we need to multiply the perimeter by the cost per foot to install fencing. We're told this cost is $6 per foot, so we can calculate the cost as:
135 ft x $6/ft = $810
b. To determine which region costs more to prepare, we need to calculate the cost per square yard for both the grassland and the forest. We're told that the cost to prepare 1 square yard of grassland is $15 and the cost to prepare 1 square yard of forest is $25.
To find the total cost for the grassland, we'll multiply the area of grassland with the cost per square yard:
2400 yd x $15/yd = $36,000
To find the total cost for the forest, we'll multiply the area of forest with the cost per square yard:
60 yd x $25/yd = $1,500
We can see that the grassland cost $36,000 to prepare while the forest cost $1,500 which means Grassland costs more to prepare.