91Ó°ÊÓ

A farmer has \(100 \mathrm{m}\) of fencing with which to make a rectangular corral. A side of a barn will be used as one side of the corral, as shown in the overhead view. a. If the width of the corral is \(x,\) express the length and the area in terms of \(x .\) b. Make a graph showing values of \(x\) on the horizontal axis and the corresponding areas on the vertical axis. c. What dimensions give the corral the greatest possible area?

Draw a rectangle. Then construct a square with equal area.

The diagonals of a parallelogram are \(82 \mathrm{cm}\) and \(30 \mathrm{cm}\) One altitude is 18 cm long. Find the two possible values for the area.