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  • 19-01-2018
  • Mathematics
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the area of the trapezoid is (3/4x-1/4) square centimeters. two pairs of expressions that represent possible lengths of bases. height is 1/2 centimeters

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obenam obenam
  • 19-01-2018
let a and be be the bases. 
The formula of the area is the following :
[tex] \frac{a+b}{2}\times h= \frac{a+b}{2}\times\frac{1}{2}=\frac{a+b}{4} [/tex]
Equating we get the equation:
[tex]\frac{a+b}{4} = \frac{3}{4} x- \frac{1}{4} = \frac{3x+1}{4} [/tex]
So, identifying we get two possible expression:
[tex]a=3x,b=1[/tex]
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