A school is installing a flagpole in the central plaza. The plaza is a square with side length 100 yards as shown in the figure below. The flagpole will take up a square plot in the middle of the plaza and its base will have an area of x² 8x + 16 yd². Area of the flagpole plot: x² − 8x + 16 - 100 yards 100 yards Find the length of the base of the flagpole by factoring. (Hint: Because the area of the flagpole is an expression that involves the variable x, the length of the base will also involve the variable x.)

Factor ? - 13а + 42.

Complete the square for the following trinomial:

The square dog run has a perimeter of 32 square feet. Mary wants to split the dog run diagonally so she can separate her two dogs. What length of fence will she need to install? Give your answer in simplified radical form.