You are a contractor who is installing a new wooden fence for a customer. The dimensions of the fence are 20 feet long and 6 feet high. If each piece of wood is 72 inches tall and 4 inches wide and the wood costs $1.10 per square foot, how much will the wood for the new fence cost?

Respuesta :

Answer:

$132

Step-by-step explanation:

First we need to find the total number of woods required. This would be total area of fence divided by area of each wood. Remember to convert inch into feet.

[tex]\frac{area of fence}{area of wood} \\=\frac{20 * 6}{6 * 0.3333} \\= 60 woods plank[/tex]

Now we know the total number of planks, we need to find what is the cost of each plank. We know that one wood plank area is 2 sq. ft ( 6*0.33333). Therefore, the cost of each plank is = cost per area(sq.ft) multiply by total area (sq. ft).

cost per plank = 2 * $1.10 =$2.20.

We have total planks = 60 units and we have cost per plank = $2.20.

So, we can find total cost as 60*2.20= $132

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