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    Mathematics
    Grade9
    Easy

    Question

    Find the area of a regular pentagon whose perimeter is 40 units and whose apothem is 5 units.

    1. 120    
    2. 200    
    3. 100    
    4. 150    

    hintHint:

    Polygon is a two- dimensional closed figure which is made up of three or more line segments. Each polygon has its own properties based on the number of sides. Area of a regular polygon can be determined using the formula A r e a equals 1 half cross times P e r i m e t e r space o f space t h e space p o l y g o n cross times A p o t h e m . Here, we have to find the area of the given polygon.

    The correct answer is: 100

      In the question it is given that
      Apothem (a) = 5
      Perimeter (P) = 40
      Here, we have to find the area of a regular pentagon.
      A = fraction numerator 1 over denominator 2 end fraction× a× P
      = fraction numerator 1 over denominator 2 end fraction ×5×40
      = 100
      So, the area of a regular pentagon is 100.
      Therefore, the correct option is c, i.e., 100.

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