lilliemarie51476
Answered

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Suppose the graph represents the plans for a fence that Tara is
building for a new city dog park. Each unit on the graph represents
12 yards. After studying the plans, Tara decides to build a fence that
encloses a smaller area. If Tara dilates Rectangle ABCD by a scale
factor of 0.75, and fencing costs $6.39 per yard, how much will she
spend on fencing?

Sagot :

MrRoyal

The scale factor of 0.75 would ensure that the new fence has a smaller area

The total cost of fencing the smaller area is $1610.28

How to determine the fencing cost?

From the complete question, we have the following parameters:

  • Number of units on the smaller area, k = 12
  • Scale factor = 0.75
  • Unit cost = $6.39 per yard
  • Perimeter, P = 28 yards

Start by calculating the perimeter of the smaller area using:

Smaller Area = Perimeter * Scale factor * k

Where k represents the number of units on the smaller area

So, we have:

Smaller Area = 28 yards * 0.75 * 12

Evaluate the product

Smaller Area = 252 yards

The total cost is then calculated as:

Total cost = Unit cost * Smaller Area

This gives

Total cost = 6.39 * 252

Total cost = $1610.28

Hence, the total cost of fencing is $1610.28

Read more about scale factors at:

https://brainly.com/question/3457976

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