Question 1042964

A farmer enclosed a rectangular field with 500 m of fencing. (Area of 15400 m sq).

A. Determine the dimensions of the field?
B. What would the dimensions of the field be if he wanted to maximize the area? Prove algebraic ally.
<pre>Dimensions: {{{highlight_green(matrix(1,5, 110, m, by, 140, m))}}}
To maximize area, the field MUST be a square, with one of its sides being: {{{highlight_green(matrix(1,4, 500/4, or, 125, m))}}}