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 $
.

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 $
.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To split the rectangular plot into two equal areas, John will need to build a fence along the shorter side of the rectangle.

The dimensions of the rectangle are 140 feet by 171 feet.

Option A: Dividing the shortest side into two equal lengths of 140/2 = 70 feet.

Option B: Dividing the shortest side into two equal lengths of 171/2 = 85.5 feet (rounded to the nearest foot).

Option C: Dividing the shortest side into two equal lengths of 141/2 = 70.5 feet (rounded to the nearest foot).

To find the cost for each choice, we need to calculate the perimeter of the fence needed:

Option A: Perimeter = 2(70 + 171) = 482 feet. Cost = 482 * $14.50 = $6,999.

Option B: Perimeter = 2(85.5 + 171) = 513 feet. Cost = 513 * $14.50 = $7,439.50.

Option C: Perimeter = 2(70.5 + 171) = 483 feet. Cost = 483 * $14.50 = $7,027.50.

The amount of money saved by using the cheapest option instead of the most expensive option is $7,439.50 - $6,999 = $440.50.