Can any one please help me with geometry if you have it right now (Iowa sate)?

Question

A rancher is adding a corral to his barn so that the barn opens directly into the corral(the coral is a rectangular shape, with 3 side, 2width and 1 length), he has 195 feet of fencing left over from another project. Find the greatest possible area for his corral using this length of fence. (hint: the corral with maximum area is not a square) if you are having geometry now, please look in page 24. problem 41 to see the drawing, please show me how to do it

Answer 1

If the width pieces are each w, the length is (195 - 2w) so the area formula is A = w(195 - 2w) = 195w - 2w^2

It's a quadratic and they have their maximum values when w = -b over 2a which here is w = -195 over 2(-2); -195/-4 = 48.75

so plug in 48.75 for w and see what it is.