Question

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

Answer 1

let a and be be the bases.
The formula of the area is the following :

`(a+b)/(2)* h= (a+b)/(2)*(1)/(2)=(a+b)/(4)`
Equating we get the equation:

`(a+b)/(4) = (3)/(4) x- (1)/(4) = (3x+1)/(4)`
So, identifying we get two possible expression:

`a=3x,b=1`