Brice wants to build a table and put a border around it. The table and border must have an area of 3,006 square inches. The tabl
e is 36 inches wide and 72 inches long without the border. Which quadratic equation can be used to determine the thickness of the border, x? A. 4x2 + 216x + 2,592 = 0
We are adding the border of x thickness to all 4 sides of the table. This makes the new width of the table 36+x+x = 36+2x and the new length of the table 72+x+x=72+2x. To find the area, we multiply the length and width:
Remark All vertical lines are of the form x = a. The y value only places where the point is on the grid.
For this particular question the x value of the point is where the vertical line is. At x = -2 draw a vertical line. The graph shows what this looks like.