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The area of an isosceles trapezoid ABCD is 24 cm2, and the diameter of an inscribed circle is 4.8 cm. Find the perimeter of the trapezoid.

 

 Jan 31, 2021
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The height of the trapezoid =  the diameter of the  circle =   4.8 cm

 

Call the  sum of the  bases  , S

 

So  

 

24  = (1/2) (4.8)  (S)

 

24  =  2.4  S

 

24 /2.4 =  S  =   10

 

And BC  = 1/2 S  =  5   =  AD

 

So.....the perimeter  =   S  + 5  +  5 =    10 + 5   + 5    = 20 cm

 

 

cool cool cool

 Jan 31, 2021

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