Trapezoid 65644

In an isosceles trapezoid, the base ratio a / c = 9/7, arm b = 10 cm, height v = 8 cm. Calculate the area of the trapezoid in cm².

Correct answer:

S =  384 cm2

Step-by-step explanation:

a:c = 9:7 b=10 cm v=8 cm  b2= v2 + x2  x=b2−v2​=102−82​=6 cm  a=x+c+x a=9/7⋅ c a=6+c+6 a=9/7⋅ c  a−c=12 7a−9c=0  Pivot:Row1↔Row2 7a−9c=0 a−c=12  Row2−71​⋅ Row1→Row2 7a−9c=0 0.29c=12  c=0.2857142912​=42 a=70+9c​=70+9⋅ 42​=54  a=54 c=42  S=2a+c​⋅ v=254+42​⋅ 8=384 cm2

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