John is going to build a rectangular plot that he needs to split into two equal areas.
The dimensions of the rectangle will be 29 feet by 420 feet.
John has sketched out the three options. Find the cost for each choice if each linear foot of fence costs $10.00 . (Example: 3 feet of fence would cost. $30.0. You will need to show all of your work on the next question.
John is going to build a rectangular plot that he needs to split into two equal areas.
Option A will cost $?
Option B will cost $?
Option C will cost $?
The amount of money saved by using the cheapest option instead of the most expensive option is $?
To find the cost for each option, we need to calculate the perimeter of each rectangle and multiply it by the cost per linear foot of fence.
Option A: The dimensions of the rectangle are 29 feet by 420 feet.
The perimeter of Option A is 2*(29+420) = 2*(449) = 898 feet.
The cost for Option A is 898 feet * $10/foot = $8980.
Option B: The dimensions of the rectangle are 210 feet by 119 feet.
The perimeter of Option B is 2*(210+119) = 2*(329) = 658 feet.
The cost for Option B is 658 feet * $10/foot = $6580.
Option C: The dimensions of the rectangle are 105 feet by 238 feet.
The perimeter of Option C is 2*(105+238) = 2*(343) = 686 feet.
The cost for Option C is 686 feet * $10/foot = $6860.
The amount of money saved by using the cheapest option (Option C) instead of the most expensive option (Option A) is $8980 - $6860 = $2120.