Question

Find the area of each parallelogram plz help

Answer 1

Answer:  The area of the parallelogram is:
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$\frac{9393}{8}$  in² = 1174 ⅛  in² = 1174.125 in² .
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Explanation:
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Area of a parallelogram:
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 A = base * height = b * h ;

From the figure (from the actual "question"):
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         b = 50.5 in.

         h = 23.25 in.
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Method 1)  A = b * h =
                 
                     =  (50.5 in) * (23.25 in) = 1174.125 in² ; or, write as:  1174 ⅛ .
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Method 2)  A = b * h =
             
                      =  (50 ½ in) * (23 ¼ in) =
   
                      =    ($\frac{101}{2}$ in) * ($\frac{93}{4}$ in) ;
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Note:  "50 ½ " = [(50*2) + 1 ] / 2  = $\frac{101}{2}$ ;

Note:  "23 ¼ " = [(23*4) + 1 ] / 4  = $\frac{93}{4}$ ;
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→  A =  ($\frac{101}{2}$ in) * ($\frac{93}{4}$ in) ;
 
→  A = $\frac{(101*93)}{(2*4)}$  in² = $\frac{9393}{8}$  in² ; 
          
→  A = (9393/8) in² =  
         
→  A  = $\frac{9393}{8}$  in² = 1174 ⅛  in² = 1174.125 in² .
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