R Trapezium

Rectangular trapezium has bases 12 and 5 and area 84 cm2.

What is its perimeter?

Correct result:

p =  38.9927 cm

Solution:

a=12 cm c=5 cm S=84 cm2  S=a+c2h  h=2⋅ S/(a+c)=2⋅ 84/(12+5)=16817≐9.8824 cm b=h=9.8824=16817≐9.8824 cm  d=(a−c)2+b2=(12−5)2+9.88242≐12.1104 cm  p=a+b+c+d=12+9.8824+5+12.1104=38.9927 cm

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