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A = 204  

Step-by-step explanation:

The formula for the area of a parallelogram is

A = bh

Data:

   P = 60

   h = AX =12

MX = 5

Calculation:

MA² = MX² + h² = 5² + 12² = 25 + 144 = 169

MA  = √169 = 13

P = 2MA + 2MH =  2MA + 2(MX + HX) = 26 + 2(5 + HX) = 60

 26 + 10 + 2HX = 60

         36 + 2HX = 60

                 2HX = 24

                   HX = 12

b = MH = MX + HX  = 5 + 12 = 17

A = bh =17 × 12 = 204

The area of the parallelogram is 204.

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