Trapezoid ABCD v2

Trapezoid ABCD has a length of bases in ratio 2:7. The area of triangle ACD is 140 dm2. What is the area of trapezoid ABCD?

Final Answer:

S2 =  180 dm2

Step-by-step explanation:

a:c = 2:7 = r r=2:70.2857=2:7 S1=140 dm2  S1 = 2c h h = 2   S1/c  S2 = 2a+c h = 2a+c   c2 S1 S2 = (a+c) S1/c S2 = S1(a/c+1) S2=S1 (r+1)=140 (0.2857+1)=180 dm2



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