Trapezoid 15

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

Correct result:

x =  10

Solution:

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=b±D2a=7±22094 x1,2=7±474 x1,2=1.75±11.75 x1=10 x2=13.5   Factored form of the equation:  2(x10)(x+13.5)=0 x>0 x=x1=10

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