A 37-foot walkway runs the diagonal of a rectangular garden. If the length of the garden is 35 feet, find the perimeter of the garden.

  94 ft

Step-by-step explanation:

The width of the garden is found using the Pythagorean theorem.

  diagonal^2 = length^2 + width^2

  width = √(diagonal^2 -length^2) = √(37^2 -35^2) = √144 = 12 . . . . feet

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The perimeter is the sum of all side lengths, so is twice the sum of length and width:

  P = 2(35 ft +12 ft) = 94 ft

The perimeter of the garden is 94 feet.