Respuesta :

JamonBSCE

Answer:

P ≈ 47.28

Step-by-step explanation:

Formula for Perimeter of a Rectangle

P = 2l + 2w

Pythagorean Theorem.

a² + b² = c²

c² - a² = b²

c² - b² = a²

c = hypotenuse

b, and a = legs

With that out of the way we're ready to solve

Step 1; find the missing leg

To do this we'll use the Pythagorean Theorem

c² - b² = a²

Here we plug 17 in for c and 14 in for b to get a

  17² - 14² = a²

289 - 196 = a²

           93 = a²

        √93 = √a²

         [tex]\sqrt{93}[/tex] = a

Step 2; Use the leg to solve for the rectangle

Here we'll use the perimeter formula for a rectangle

P = 2l + 2w

P = 2(14) + 2([tex]\sqrt{93}[/tex])

P = 28 + 2[tex]\sqrt{93}[/tex]

P ≈ 47.28

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