**URGENT!** A farmer with 10,000 meters of fencing wants to enclose 6 rectangular plots as shown. If x is the given dimension, express the total area of the 6 plots as a function of x.

Step-by-step explanation:

Let each of the lengths be y

let each of the shorter sides by x

so we need 2y + 3x

2y + 3x = 10000 ---> y = (10000-3x)/2

area = xy

= x(10000-3x)/2

= 5000x - (3/2)x^2

d(area)/dx = 5000-3x

= 0 for a max of area

3x = 5000

x = 5000/3 m or 1666 2/3 m

sub that into area

then area = 4,166,666.667 m^2