Roy wants to build a rectangular enclosure for his animals. One side of the pen will be against the bam so h needs no lence on that side. The other three sides will be enclosed with wire fencing. If Roy has 1000 yards of fencing you can find the dimensions that maximize the area of the enciosure. A. What is the length of the rectangle in terms of the width? B. Let w be the width of the enclosure (perpendicular to the barn) and let I be the length of the enclosure (parallel to the barn).
Write a function for the area A of the enclosure in terms of w C Fit in the table by having some possible values of w and the corresponding areas (A)
Width (w) 100 150 200 250 300 400 350 Area (A) ?
D. What width w would maximize the area? E What is the maximum area?