McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
7. Scale Drawings and Models
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Exercise 12 Page 603

Evaluate the quotients of the corresponding dimensions, choose the greater result and round it to the nearest integer.

Example Solution: 1in.=8ft
A scale drawing:

Practice makes perfect
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.
1/8=w/50
Solve for w
1*50=8* w
50=8w
50/8=w
6.25=w
w=6.25
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.
1/8=l/84
Solve for l
1*84=8* l
84=8l
84/8=l
10.5=l
l=10.5
The length of a scale drawing of the court will be 10.5 inches. Using these dimensions, we can make an appropriate drawing.