To find the cost for each choice, we need to first calculate the perimeter of each rectangle.
For Option A: The rectangle is split along the longer side, so the dimensions of each half would be 140 feet by 85.5 feet. The perimeter of each half would then be (2 * 140 + 2 * 85.5) = 451 feet. Since we need to find the cost of fencing for both halves, multiply the perimeter by 2: 451 feet * 2 = 902 feet. Multiply this by the cost per linear foot of fence: 902 feet * $10.75/foot = $9,696.50.
For Option B: The rectangle is split along the shorter side, so the dimensions of each half would be 70 feet by 171 feet. The perimeter of each half would then be (2 * 70 + 2 * 171) = 482 feet. Since we need to find the cost of fencing for both halves, multiply the perimeter by 2: 482 feet * 2 = 964 feet. Multiply this by the cost per linear foot of fence: 964 feet * $10.75/foot = $10,377.
For Option C: In this option, the rectangle is split in the middle, resulting in two equal halves with dimensions 140 feet by 85.5 feet. The perimeter of each half would then be (2 * 140 + 2 * 85.5) = 451 feet. Since we need to find the cost of fencing for both halves, multiply the perimeter by 2: 451 feet * 2 = 902 feet. Multiply this by the cost per linear foot of fence: 902 feet * $10.75/foot = $9,696.50, which is the same as Option A.
To find the amount of money saved by using the cheapest option instead of the most expensive option, subtract the cost of the cheapest option from the cost of the most expensive option: $10,377 - $9,696.50 = $680.50. Thus, the amount of money saved is $680.50.
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 feet by 171 feet. John has sketched out three different rectangles that are split in half differently for each sketch. Find the cost for each choice if each linear foot of fence coats $10.75
Option A:?
Option B:?
Option C:?
The amount of money saved by using the cheapest option instead if the most expensive option is:?
3 answers
Bot those are wrong
I apologize for the mistake. Let's calculate the correct values.
For Option A: The rectangle is split along the longer side, so the dimensions of each half would be 140 feet by 85.5 feet. The perimeter of each half would then be (2 * 140 + 2 * 85.5) = 451 feet. Since we need to find the cost of fencing for both halves, multiply the perimeter by 2: 451 feet * 2 = 902 feet. Multiply this by the cost per linear foot of fence: 902 feet * $10.75/foot = $9,696.50.
For Option B: The rectangle is split along the shorter side, so the dimensions of each half would be 70 feet by 171 feet. The perimeter of each half would then be (2 * 70 + 2 * 171) = 482 feet. Since we need to find the cost of fencing for both halves, multiply the perimeter by 2: 482 feet * 2 = 964 feet. Multiply this by the cost per linear foot of fence: 964 feet * $10.75/foot = $10,379.
For Option C: In this option, the rectangle is split in the middle, resulting in two equal halves with dimensions 70 feet by 171 feet. The perimeter of each half would then be (2 * 70 + 2 * 171) = 482 feet. Since we need to find the cost of fencing for both halves, multiply the perimeter by 2: 482 feet * 2 = 964 feet. Multiply this by the cost per linear foot of fence: 964 feet * $10.75/foot = $10,379, which is the same as Option B.
To find the amount of money saved by using the cheapest option instead of the most expensive option, subtract the cost of the cheapest option from the cost of the most expensive option: $10,379 - $9,696.50 = $682.50. Thus, the amount of money saved is $682.50.
For Option A: The rectangle is split along the longer side, so the dimensions of each half would be 140 feet by 85.5 feet. The perimeter of each half would then be (2 * 140 + 2 * 85.5) = 451 feet. Since we need to find the cost of fencing for both halves, multiply the perimeter by 2: 451 feet * 2 = 902 feet. Multiply this by the cost per linear foot of fence: 902 feet * $10.75/foot = $9,696.50.
For Option B: The rectangle is split along the shorter side, so the dimensions of each half would be 70 feet by 171 feet. The perimeter of each half would then be (2 * 70 + 2 * 171) = 482 feet. Since we need to find the cost of fencing for both halves, multiply the perimeter by 2: 482 feet * 2 = 964 feet. Multiply this by the cost per linear foot of fence: 964 feet * $10.75/foot = $10,379.
For Option C: In this option, the rectangle is split in the middle, resulting in two equal halves with dimensions 70 feet by 171 feet. The perimeter of each half would then be (2 * 70 + 2 * 171) = 482 feet. Since we need to find the cost of fencing for both halves, multiply the perimeter by 2: 482 feet * 2 = 964 feet. Multiply this by the cost per linear foot of fence: 964 feet * $10.75/foot = $10,379, which is the same as Option B.
To find the amount of money saved by using the cheapest option instead of the most expensive option, subtract the cost of the cheapest option from the cost of the most expensive option: $10,379 - $9,696.50 = $682.50. Thus, the amount of money saved is $682.50.