First, let's find the cost for each choice.
Choice A: If the rectangle is split across, it would require two fences along the width, each measuring 140 feet, and one fence along the length, measuring 171 feet. The total cost for the fences would be 2 * 140 * 10.75 + 171 * 10.75 = $5,392.50.
Choice B: If the rectangle is split down the middle, it would require one fence along the width, measuring 140 feet, and two fences along the length, each measuring 85.5 feet. The total cost for the fences would be 140 * 10.75 + 2 * 85.5 * 10.75 = $2,837.50.
Choice C: If the rectangle is split diagonally, it would require four fence segments. Two segments along the width would measure 140 feet each, and two segments along the length would measure 171 feet each. The total cost for the fences would be 2 * 140 * 10.75 + 2 * 171 * 10.75 = $6,089.50.
Now let's find the amount of money saved if John uses the lowest costing choice.
The lowest cost among the three choices is $2,837.50 for Choice B. The amount of money saved compared to Choice A would be $5,392.50 - $2,837.50 = $2,555.
Similarly, the amount of money saved compared to Choice C would be $6,089.50 - $2,837.50 = $3,252.
Therefore, if John uses the lowest costing choice (Choice B), he would save $2,555 compared to Choice A and $3,252 compared to Choice C.
John is going to build a rectangular plot and he needs go split the rectangle into two equal areas.
The dimensions will be 140 feet by 171 feet.
John sketched three different options that he can choose from. Find the cost for each choice if each linear foot costs $10.75 (three feet of fence would cost $32.25)
Choice A is split across.
Choice B is split down the middle.
Choice C is split diagonally.
Find each cost and the amount of money saved if John uses the lowest costing choice.
3 answers
All of your answers are wrong though
Apologies for the incorrect calculations. Let's re-calculate the costs for each choice.
Choice A: The rectangle is split across, requiring two fences along the width, each measuring 140 feet, and one fence along the length, measuring 171 feet. The total cost for the fences would be (2 * 140 + 171) * 10.75 = $4,665.25.
Choice B: The rectangle is split down the middle, requiring one fence along the width, measuring 140 feet, and two fences along the length, each measuring 85.5 feet. The total cost for the fences would be (140 + 2 * 85.5) * 10.75 = $2,821.25.
Choice C: The rectangle is split diagonally, requiring four fence segments. Two segments along the width would measure 140 feet each, and two segments along the length would measure 171 feet each. The total cost for the fences would be (2 * 140 + 2 * 171) * 10.75 = $5,972.50.
Now let's find the amount of money saved if John uses the lowest costing choice.
The lowest cost among the three choices is $2,821.25 for Choice B. The amount of money saved compared to Choice A would be $4,665.25 - $2,821.25 = $1,844.
Similarly, the amount of money saved compared to Choice C would be $5,972.50 - $2,821.25 = $3,151.25.
Therefore, if John uses the lowest costing choice (Choice B), he would save $1,844 compared to Choice A and $3,151.25 compared to Choice C.
Choice A: The rectangle is split across, requiring two fences along the width, each measuring 140 feet, and one fence along the length, measuring 171 feet. The total cost for the fences would be (2 * 140 + 171) * 10.75 = $4,665.25.
Choice B: The rectangle is split down the middle, requiring one fence along the width, measuring 140 feet, and two fences along the length, each measuring 85.5 feet. The total cost for the fences would be (140 + 2 * 85.5) * 10.75 = $2,821.25.
Choice C: The rectangle is split diagonally, requiring four fence segments. Two segments along the width would measure 140 feet each, and two segments along the length would measure 171 feet each. The total cost for the fences would be (2 * 140 + 2 * 171) * 10.75 = $5,972.50.
Now let's find the amount of money saved if John uses the lowest costing choice.
The lowest cost among the three choices is $2,821.25 for Choice B. The amount of money saved compared to Choice A would be $4,665.25 - $2,821.25 = $1,844.
Similarly, the amount of money saved compared to Choice C would be $5,972.50 - $2,821.25 = $3,151.25.
Therefore, if John uses the lowest costing choice (Choice B), he would save $1,844 compared to Choice A and $3,151.25 compared to Choice C.
69 answers