Question

(100 points) John is going to build a rectangular plot that he needs to split into two equal areas. The dimensions of the rectangle will be 27 feet by 364 feet. John has sketched out the three options. Find the cost for each choice if each linear foot fence costs $13.00 .(Example: 3 feet of fence would cost $39.0. You will need to show all of your work on the next question.

Answer 1

To find the cost for each choice, we need to calculate the perimeter of each option and then multiply it by the cost per linear foot.

Option 1: Splitting the plot into two equal areas by dividing it into two rectangles of dimensions 27 ft by 182 ft each.
The perimeter of each rectangle is (27 + 182 + 27 + 182) ft = 418 ft.
The total cost for Option 1 is 418 ft * $13.00/ft = $5,434.00.

Option 2: Splitting the plot into two equal areas by dividing it into two rectangles of dimensions 54 ft by 182 ft each.
The perimeter of each rectangle is (54 + 182 + 54 + 182) ft = 472 ft.
The total cost for Option 2 is 472 ft * $13.00/ft = $6,136.00.

Option 3: Splitting the plot into two equal areas by dividing it into two rectangles of dimensions 108 ft by 182 ft each.
The perimeter of each rectangle is (108 + 182 + 108 + 182) ft = 580 ft.
The total cost for Option 3 is 580 ft * $13.00/ft = $7,540.00.

Therefore, the cost for each choice is:
Option 1: $5,434.00
Option 2: $6,136.00
Option 3: $7,540.00

Let me know if you need any further assistance!