Question

500m of fencing is available to make 4 rectangular pens of identical shape. Find the dimensions that maximise the area of each pen if the plan is: (DIAGRAMS BELLOW)

Answer 1

The answer is "
`x((250)/(3)-x)`"

Explanation:

Both points are similar that's why the solution is:

`\to (6x+6y=500)/(6)\\\\\to x+y=(250)/(3)\\\\\to y= (250)/(3)-x \\\\\to Area= xy\\\\ \to Area= x((250)/(3)-x)`