Trapezoids

In the isosceles trapezoid ABCD we know: AB||CD, |CD| = c = 8 cm, height h = 7 cm, |∠CAB| = 35°. Find the area of the trapezoid.

Correct answer:

A =  69.9793 cm2

Step-by-step explanation:

c=8 cm h=7 cm CAB=35 °  tanCAB=h:(c+x)  x=h/tanCAB°c=h/tan35° c=7/tan35° 8=7/0.7002088=1.99704 cm  a=c+2 x=8+2 1.99711.9941 cm  A=a+c2 h=11.9941+82 7=69.9793 cm2



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