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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)

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 class=

Sagot :

Answer:

The answer is "[tex]x(\frac{250}{3}-x)[/tex]"

Step-by-step explanation:

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

[tex]\to \frac{6x+6y=500}{6}\\\\\to x+y=\frac{250}{3}\\\\\to y= \frac{250}{3}-x \\\\\to Area= xy\\\\ \to Area= x(\frac{250}{3}-x)[/tex]