Question 1166945
<br>
The largest rectangle with a given fixed area is a square.<br>
If the square is to be enclosed with 48m of wire, the side of the square will be 48/4 = 12m.<br>
ANSWER: 12m by 12m<br>
If you aren't supposed to use that fact to solve the problem, you can do this....<br>
The perimeter is 48m, so length plus width is 24m.  So<br>
let x = length
then 24-x = width<br>
Area = length times width:
{{{A = x(24-x) = 24x-x^2}}}<br>
If you know calculus, you can use it to find the value of x that will make the area a maximum.<br>
Otherwise, you can find that value of x either by graphing the function and finding the value of x that gives maximum area, or by using your knowledge about quadratic functions and parabolas.<br>