ISO trapezoid v2

bases of Isosceles trapezoid measured 20 cm and 4 cm and its perimeter is 55 cm. What is the are of a trapezoid?

Correct result:

S =  159.31 cm2

Solution:

a=20 cm b=4 cm o=55 cm  o=a+b+2r  r=o−a−b2=55−20−42=312=15.5 cm  x=∣a−b∣2=∣20−4∣2=8 cm  h=r2−x2=15.52−82≐13.2759 cm  S=a+b2⋅ h=20+42⋅ 13.2759=6 705=159.31 cm2

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