Paul's Online Notes
Paul's Online Notes
Home / Algebra / Solving Equations and Inequalities / Applications of Quadratic Equations
Show Mobile Notice Show All Notes Hide All Notes
Mobile Notice
You appear to be on a device with a "narrow" screen width (i.e. you are probably on a mobile phone). Due to the nature of the mathematics on this site it is best viewed in landscape mode. If your device is not in landscape mode many of the equations will run off the side of your device (you should be able to scroll/swipe to see them) and some of the menu items will be cut off due to the narrow screen width.

Section 2.8 : Applications of Quadratic Equations


  1. The width of a rectangle is 1 m less than twice the length. If the area of the rectangle is 100 m2 what are the dimensions of the rectangle? Solution
  2. Two cars start out at the same spot. One car starts to drive north at 40 mph and 3 hours later the second car starts driving to the east at 60 mph. How long after the first car starts driving does it take for the two cars to be 500 miles apart? Solution
  3. Two people can paint a house in 14 hours. Working individually one of the people takes 2 hours more than it takes the other person to paint the house. How long would it take each person working individually to paint the house? Solution