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The area of an isosceles trapezoid ABCD is 24 cm^2, and the diameter of an inscribed circle is 4 cm. Find the perimeter of the trapezoid.

 

 Jul 8, 2021
 #1
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Similar problem: https://web2.0calc.com/questions/trapezoid-amp-circle

 Jul 8, 2021
 #2
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The area of an isosceles trapezoid ABCD is 24 cm^2, and the diameter of an inscribed circle is 4 cm. Find the perimeter of the trapezoid.

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[ABCD] = 24           r = 2               Circle center => O         ∠AOD = 90º

 

AD = BC = (1/2[ABCD]) / r = 6

 

AD + BC = 12

 

AD + BC = AB + CD

 

So, the perimeter is 24 cm

 Jul 9, 2021

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