Exercise 12 Page 603

We are given that a basketball court has a dimensions of 50feet* 84feet and asked to choose an appropriate scale of the court to fit on a sheet of paper of dimensions of 8.5inches*11inches. First, we will evaluate the quotients of the corresponding dimensions. &50feet/8.5inches≈5.88feet per inch &84feet/11inches≈7.64feet 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 7.64>5.88, we will round 7.64 to the nearest integer that is not less than this number. 7.64≈8 Therefore, an appropriate scale of the court will be 1in.=8ft. 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, represented by w. To do this, we will use a scale we just found.

The width of a scale drawing of the court will be 6.25 inches. We will find its length in the same way. Let l represents this dimension.

The length of a scale drawing of the court will be 10.5 inches. Using these dimensions, we can make an appropriate drawing.