Lesson 2

Discover

 

An illustration of a jai alai court is shown. The court consists of three walls shown in green, an in-bounds floor area divided into four sections, and an out-of-bounds area shown in red. The length and width of the court can be modelled by the illustration shown.

 

The width of each section of the floor area is seven-tenths the width of the court. The length of each section is approximately one-quarter the length of the court.

 

Try This 1

1. Write an expression that represents the total court area, including the out-of-bounds area. Remember area = length × width.
   
   
2. Write an expression that represents each of the following dimensions of the court:
   
   
   1. the length of a blue section of the court floor (matches the length of a short green wall)
      
      
   2. the width of one blue section (matches a part of the long green wall)
      
      
   3. the area of one blue section
      
      
3.  
   1. Write a rational expression that represents the fraction of the total court area occupied by one blue section.
      
      
   2. Simplify this expression.
      
      
4. If x = 30 ft in the illustration, determine the area of one blue section using
   
   
   1. the expression in 2.c.
      
      
   2. the expressions for the dimensions (length and width) of the entire court and applying the original information about the length and width of one blue section
      
      
5. Compare your results in 4.a. and 4.b.

Save your responses in your course folder.