John is going to build a rectangular plot that he needs to split into two equal areas.
The dimensions of the rectangle will be
115
115 feet by
252
252 feet.
John has sketched out the three options. Find the cost for each choice if each linear foot of fence costs
$
12.00
$12.00 . (Example: 3 feet of fence would cost
$
36.0.
$36.0.
You will need to show all of your work on the next question. Click Here for Rubric.
Choice A
Choice B
Choice C
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 choice, we need to calculate the perimeter of each option and multiply it by the cost per linear foot of fence.
Option A:
Perimeter = 2*(115 + 252) = 2*(367) = 734 feet
Cost = Perimeter * Cost per linear foot = 734 * 12.00 = $8,808.00
Option B:
Perimeter = 2*(252 + 252) = 2*(504) = 1008 feet
Cost = Perimeter * Cost per linear foot = 1008 * 12.00 = $12,096.00
Option C:
Perimeter = 2*(115 + 115 + 252 + 252) = 2*(734) = 1468 feet
Cost = Perimeter * Cost per linear foot = 1468 * 12.00 = $17,616.00
The amount of money saved by using the cheapest option instead of the most expensive option is $17,616.00 - $8,808.00 = $8,808.00.
thats incorrect
Apologies for the incorrect answer. Let's recalculate the costs correctly.
Option A:
Perimeter = 2*(115 + 252) = 2*(367) = 734 feet
Cost = Perimeter * Cost per linear foot = 734 * 12.00 = $8,808.00
Option B:
Perimeter = 2*(252 + 252) = 2*(504) = 1008 feet
Cost = Perimeter * Cost per linear foot = 1008 * 12.00 = $12,096.00
Option C:
Perimeter = 2*(115 + 252) + 2*115 = 2*(367) + 2*115 = 734 + 230 = 964 feet
Cost = Perimeter * Cost per linear foot = 964 * 12.00 = $11,568.00
The amount of money saved by using the cheapest option instead of the most expensive option is $12,096.00 - $8,808.00 = $3,288.00.
To find the cost for each choice, we need to calculate the perimeter of each option and multiply it by the cost of each linear foot of fence.
Choice A:
The dimensions of the rectangle are 115 feet by 252 feet. To find the perimeter, we add up all the sides: 2 * (115 + 252) = 734 feet. Multiply this by the cost per linear foot of fence: 734 * $12.00 = $8,808.
Choice B:
Since Choice B splits the rectangular plot into two equal areas, each area will have dimensions of 115 feet by 126 feet. The perimeter of each area is: 2 * (115 + 126) = 482 feet. Multiply this by the cost per linear foot of fence: 482 * $12.00 = $5,784. Since there are two equal areas, the total cost for Choice B will be: 2 * $5,784 = $11,568.
Choice C:
Choice C splits the plot into two rectangles, one with dimensions 115 feet by 210 feet, and the other with dimensions 115 feet by 42 feet. The perimeter of the first rectangle is: 2 * (115 + 210) = 650 feet. The perimeter of the second rectangle is: 2 * (115 + 42) = 314 feet. Adding these perimeters together gives us the total perimeter of Choice C: 650 + 314 = 964 feet. Multiply this by the cost per linear foot of fence: 964 * $12.00 = $11,568.
Therefore, the cost for each choice is:
Option A: $8,808
Option B: $11,568
Option C: $11,568
To find the amount of money saved by using the cheapest option instead of the most expensive option, we subtract the cost of the cheapest option (Option A) from the cost of the most expensive option (Option B or C):
Amount saved = Cost of most expensive option - Cost of cheapest option
Amount saved = $11,568 - $8,808
Amount saved = $2,760