Question

The answer is x-2/3(x-3) but i need the explanation

Answer 1

`(x-2)/(3(x-3))`

Explanation:

The area of the shaded rectangle is
`A_1=(x-2)/(3)*(x+1)/(4)`

The area of the large rectangle is
`A_2=(x-3)/(2)*(x+1)/(2)=((x-3)(x+1))/(4)`

So the fraction is
`(A_1)/(A_2)=A_1*(1)/(A_2)=(x-2)/(3)*(x+1)/(4)*(4)/((x-3)(x+1))=(x-2)/(3(x-3))`