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The trapezoid shown has a height of length 12 cm, a base of length 16 cm, and an area of 180 cm^2. What is the perimeter of the trapezoid?

 

 Aug 3, 2022
 #1
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Note for @CPhill, @Melody, @Alan, @asinus, @admin, I cannot register my account because it's not sending a verification to my email. Can you help?

The answer is 43 + sqrt(145).

 

The answer might be wrong because it just looks suspicious... that radical is sus.

 

Explanation:

 

12 * 16 = 192,

192 - 180 = 12. This is the area of the triangular side of the trapezoid.

 

This means we can find the base of the triangle: 12 / 12 = 1.

 

And now we can find the top: 16 - 1 = 15.

 

15 + 16 + 12 + sqrt(145) = 43 + sqrt(145). You cannot simplify sqrt(145).

 Aug 3, 2022
 #2
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See asinus's answer here :

 

https://web2.0calc.com/questions/geometry_94201

 

 

cool cool cool

 Aug 3, 2022

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