Respuesta :

Space

Answer:

P = 36 units

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Algebra I

  • Reading a Cartesian Plane

Geometry

  • Perimeter is all the side lengths added together

Trigonometry

  • [Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

We can determine some of the perimeter already by finding the lengths of the legs.

Bottom Leg = 12 units

Vertical Leg = 9 units

Step 2: Determine 3rd Leg

  1. Substitute [PT]:                    12² + 9² = c²
  2. Exponents:                           144 + 81 = c²
  3. Add:                                      225 = c²
  4. Isolate c:                               15 = c
  5. Rewrite:                                c = 15

Step 3: Determine Perimeter

  1. Substitute:                       P = 12 units + 9 units + 15 units
  2. Add:                                 P = 36 units

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