Exercise 4 Page 602

We are given that a volleyball court has dimensions of 9meters* 18meters and asked to choose an appropriate scale of the court to fit on an index card of dimensions of 3inches*5inches. First, we will evaluate the quotients of the corresponding dimensions. &9meters/3inches=3meters per inch &18meters/5inches=3.6meters per inch To choose an appropriate scale, we will round the greater of the results to the nearest integer that is greater than this number. Since 3.6>3, we will round 3.6 to the nearest integer that is not less than this number. 3.6≈4 Therefore, an appropriate scale of the court will be 1in.=4m. Notice that this is only a sample answer. Next, we are asked to construct a scale drawing of the court. We will start with evaluating the width, which we will represent with w. To do this, we will use a scale we just found.

The width of a scale drawing of the court will be 2.25 inches. We will find its length in the same way. Let l represent this dimension.

The length of a scale drawing of the court will be 4.5 inches. Using these dimensions, we can make an appropriate drawing.