Trapezoid 15

The area of a trapezoid is 266. What value is x if bases b1 is 2x-3, b2 is 2x+1, and height h is x+4

Correct answer:

x =  10

Step-by-step explanation:

A=266 A = (b1+b2)h/2 A = ((2x3)+(2x+1))(x+4)/2 (2x3+2x+1)(x+4)/2=266  2x2+7x270=0  a=2;b=7;c=270 D=b24ac=7242(270)=2209 D>0  x1,2=2ab±D=47±2209 x1,2=47±47 x1,2=1.75±11.75 x1=10 x2=13.5 x>0 x=x1=10

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