Question

John is going to build a rectangular plot that he needs to split into two equal areas.

The dimensions of the rectangle will be
140
140 feet by
171
171 feet.

John has sketched out the three options. Find the cost for each choice if each linear foot of fence costs
$
14.50
$14.50 . (Example: 3 feet of fence would cost
$
43.5.
$43.5.

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 $
9,019
.

Option B will cost $
9,019
.

Option C will cost $
11,049
.

The amount of money saved by using the cheapest option instead of the most expensive option is $
.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The perimeter of the rectangle is given by the formula:

Perimeter = 2(length + width)

Option A:
Perimeter = 2(140 + 140) = 2(280) = 560 feet
Cost = 560 * $14.50 = $8,120

Option B:
Perimeter = 2(140 + 171) = 2(311) = 622 feet
Cost = 622 * $14.50 = $9,019

Option C:
Perimeter = 2(171 + 171) = 2(342) = 684 feet
Cost = 684 * $14.50 = $11,049

The amount of money saved by using the cheapest option (Option A) instead of the most expensive option (Option C) is:

$11,049 - $8,120 = $2,929