Question 622263
area of a rectangle is given by the formula {{{A=L*W}}}

now when 2 numbers are consecutive, then if you let the smaller number be 'X' then the next number is going to be 'X+1'   

so 

{{{L*W = X*(X+1) = 48}}}

this is a quadratic, so now you get,

{{{X^2+X-48=0}}}

now solve for the zeros. you cant have a negative length so take the positive x, then plug it into X+1