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A garden measures 77 feet by 36 feet, and the owner of the garden wishes to divide the garden into two parts by installing a fence from corner to corner. Find the cost of the total length of fence if the fence costs $ 3.87 per foot.

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sqdancefan

Answer:

  $328.95

Step-by-step explanation:

By the Pythagorean theorem, the diagonal of the garden has a length that is the root of the sum of the squares of the side lengths:

  d = √(77² +36²) = √7225 = 85

Then the cost of the fence is the product of this number of feet and the cost per foot:

  (85 ft)·($3.87/ft) = $328.95

The total cost of the length of the fence is $328.95

The garden is in the form of a rectangle. A line that divides the rectangle from one corner to the other corner is known as an hypotenuse. The hypotenuse divides the rectangle into two right-angles triangles. The length of the hypotenuse has to be first determined using Pythagoras theorem.

The Pythagoras theorem: a² + b² = c²

where a = length

b = base

c = hypotenuse

77² + 36²

5929 + 1296 =7225

√7225 = 85 feet

Cost of the total length of the fence = length of fence x cost per foot

$3.87 x 85 = $328.95

To learn more about Pythagoras theorem, please check: brainly.com/question/20936855?referrer=searchResults

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