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QuestionFind the cost to fence a 725 ft by 1,021 ft field at \$ 13.57 per foot. Options: \$ 10,044.85, \$ 23,693.22, \$ 47,386.44.

Studdy Solution

STEP 1

Assumptions1. The field is rectangular with dimensions725 feet by1,021 feet. The fencing is to enclose the entire field3. The cost of fencing is $13.57 per foot

STEP 2

First, we need to find the perimeter of the field. The perimeter of a rectangle is given by the formulaPerimeter=2×(Length+Width) Perimeter =2 \times (Length + Width)

STEP 3

Now, plug in the given values for the length and width to calculate the perimeter.
Perimeter=2×(725 feet+1,021 feet) Perimeter =2 \times (725\, feet +1,021\, feet)

STEP 4

Calculate the perimeter of the field.
Perimeter=2×(725 feet+1,021 feet)=2×1,746 feet=3,492 feet Perimeter =2 \times (725\, feet +1,021\, feet) =2 \times1,746\, feet =3,492\, feet

STEP 5

Now that we have the perimeter of the field, we can find the total cost of the fencing. This can be done by multiplying the cost per foot by the total number of feet (the perimeter).
Cost=Perimeter×Cost per foot Cost = Perimeter \times Cost\, per\, foot

STEP 6

Plug in the values for the perimeter and the cost per foot to calculate the total cost.
Cost=3,492 feet×$13.57 per foot Cost =3,492\, feet \times \$13.57\, per\, foot

STEP 7

Calculate the total cost of the fencing.
Cost=3,492 feet×$13.57 per foot=$47,386.44 Cost =3,492\, feet \times \$13.57\, per\, foot = \$47,386.44 The cost of the fencing to enclose the field will be $47,386.44.

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