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A farmer wants to fence a section of land for a horse pasture. Fencing costs $27 per yard. How much will it cost to fence the pasture?

A farmer wants to fence a section of land for a horse pasture. Fencing costs 27 per yard. How much will it cost to fence the pasture? class=

Verified Answer :

Answer:

$16874.73

Step-by-step explanation:

Perimeter of land = Sum of all sides

                             = @@MATH_TOKEN_0@@

                             = @@MATH_TOKEN_1@@

Thus the perimeter of the land is 1875 feet

1 foot = 0.333333 yards

So, 1875 feet = @@MATH_TOKEN_2@@

                       = @@MATH_TOKEN_3@@

Cost of fencing 1 yard = $27

So, cost of fencing 624.99 yards  = \(27 \times 624.99\)

                                                        = \(16874.73\)

Hence it will cost $16874.73 to fence the pasture .

To solve the problem we will need to calculate the perimeter of the figure.

The cost of fencing horse pasture is $16,875.

Given to us

  • Fencing costs $27 per yard

We know that we need to put the fence on all the sides of the horse pasture, therefore, the fence will be put on the perimeter of the horse pasture.

What is the Perimeter of the horse pasture?

Perimeter of the horse pasture = 240ft + 285ft + 450ft + 450ft + 450ft

                                                    = 1,875 ft

Conversion to yards

We know that 1 yard is equal to 3 feet. therefore,

\(1\ feet = \dfrac{1}{3}\ yards\)

\(1,875\ feets = \dfrac{1}{3}\times 1,875\ yards\\\\\)

                   \(= 625\ yards\)

Thus, the perimeter of the horse pasture is 625 yards.

What is the Cost of fencing?

Cost of fencing horse pasture

= perimeter of the horse pasture x cost per yard

= 625 x $27

= $16,875

Hence, the cost of fencing horse pasture is $16,875.

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