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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?

 

 

 Nov 5, 2021
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What is the perimeter of the trapezoid?

 

Helo Guest!

 

\(A=\frac{h(a+b)}{2}\\ b= \frac{2A}{h}-a=\frac{2\cdot 180cm^2}{12cm}-16cm\)

\(b=14cm\)

\(P=a+b+h+\sqrt{h^2+(a-b)^2}=(14+16+12+\sqrt{12^2+(16-14)^2})cm\)

\(P=54.17cm\)

laugh  !

 Nov 5, 2021
edited by asinus  Nov 5, 2021

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