Secure I httpswwwmathxlcomstudentPlayerHomeworkaspxhomework

Secure I https://www.mathxl.com/student/PlayerHomework.aspx?homework MATH 135 Pre Homework: Lesson 8 HW Score: 0 of 1 pt 3.4.9 8 of 9 (2 comp Farmer Ed has 3,000 meters of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the river, what is the largest area that can be enclosed? 3,000 -2x The largest area that can be enclosed is square meters. Enter your answer in the answer box and then click Check Answer All parts showing

Solution

lengths of side that are enclosed are x,x,3000-2x

area enclosed,A=x(3000-2x)

=>A=3000x-2x²

=>A=-2(x²-1500x)

=>A=-2(x²-1500x+(1500_/2)²-(1500_/2)²)

=>A=-2(x²-1500x+(1500_/2)²)+2(1500_/2)²

=>A=-2(x-750)²+1125000

area is largest when x=750

the largest area that is enclosed is 1125000 square meters