College Algebra

Question

Find the dimensions of the rectangular corral split into 2 pens of the same size producing the greatest possible enclosed area given 300 feet of fencing. (Assume that the length is greater than or equal to the width.)

Answer 1

the rectangle with the greatest area is a square

greatest possible area of 2 pens with the same size

is 150 feet for each pen

making L= W = 150/4 = 37 1/2 feet

1/8 of the 300 is the length and width of each pen

300/8 = 37 and a half feet