Superlesson
Project 5-1
Geometry
Chapter 5, Area
Recall that the area of a region is the number of square units contained in that region. Below, you will investigate the area of a shuffleboard and the area of a hopscotch game.
Part A, Area and Perimeter
1. Look at pictures of a Shuffleboard court. The dimensions of the court are approximately those given below:
a. Find the areas of each of the numbered regions on the shuffleboard.
Hint: Remember that a trapezoid can be divided into a rectangle and a triangle.
b. Describe two methods of finding the area of the entire shuffleboard.c. Find the area of the entire shuffleboard.
Part C, The Quadratic Formula and Area
2. Now, look at a drawing of a Hopscotch game. This playing area is composed of nine squares put together in the method drawn.
a. Suppose each of the squares has side of length x. What is the area of one of the squares?
b. What is the area of squares #4 and #5 put together?
c. What is the total area of all the squares?
d. Suppose you know that the total area of all the squares is 2304 in.2, what is the length of one side of one of the squares?
Part D, Area and Probability
3. Now, let's go back to the shuffleboard game in 1. Suppose that when you shoot a disk, it is guaranteed to land in one of the scoring regions, and that the probability of landing at any one spot in any of the scoring regions is exactly the same. Find the probability of scoring the following points:
a. -10
b. 7
c. 8
d. 10