Question 469848
The perimeter of a rectangle is {{{24 cm}}}. Express the area of the rectangle in terms of the width {{{x}}}. (do you mean the width {{{W}}})


{{{P=2L+2w}}}

{{{24cm=2L+2w}}}

{{{24cm/2=2L/2+2w/2}}}

{{{12cm=L+w}}}

{{{w=12cm-L}}}

the area is:

{{{A=L*w}}}...substitute {{{L}}}

{{{A=(12cm-L)*L}}}

{{{A=(12cm*L)-L^2}}}


Let {{{x}}} and {{{(12-x)}}} represent the width and length respectively
 
{{{A = x(12-x)}}}   or  {{{A=12x-x^2}}}