Circumference 66134

The isosceles trapezoid ABCD has an area of 36 cm2. One of its bases is two times longer than the other. Height is 4 cm. Calculate the circumference of the trapezoid.

Correct answer:

o =  28 cm

Step-by-step explanation:

S=36 cm2 h=4 cm  a=2c S=(a+c)/2 h a=2c 36=(a+c)/2 4  a=2 c 36=(a+c)/2 4  a2c=0 4a+4c=72  a=12 c=6  x2=h2+((ac)/2)2 x=h2+((ac)/2)2=42+((126)/2)2=5 cm  o=a+c+x+x=12+6+5+5=28=28 cm   Verifying Solution:   S1=2a+c h=212+6 4=36 cm2

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