High School

A property owner has decided to build a cyclone fence around her property. The lot is rectangular, 110 feet by 270 feet, and the fence is 7 feet high. Cyclone fencing costs 85 cents per square foot, and the labor costs $1.70 per linear foot.

What will the fence cost the property owner?

1. $4,667
2. $5,814
3. $7,497
4. $8,979

Answer :

Final answer:

The total cost of the cyclone fence will be $5,814, combining the costs of the fencing material and the labor.

Explanation:

To calculate the cost of the cyclone fence, we need to determine both the cost of the fencing material per square foot and the labor cost per linear foot. The property is 110 feet by 270 feet, which means the perimeter that needs to be fenced is 2(110) + 2(270) = 220+540 = 760 feet.

The height of the fence is 7 feet, so the total square footage of the fence is 7 feet × 760 feet = 5,320 square feet. The cost for the fence material is 85 cents per square foot, which means the material cost will be 0.85 dollars/ft² × 5,320 ft² = $4,522.

The labor cost is $1.70 per linear foot. So, the labor cost for the fence will be $1.70/ft × 760 ft = $1,292.

Therefore, the total cost of the fence will be the material cost plus the labor cost, which equals $4,522 + $1,292 = $5,814.

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