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 11 Page 603

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

Example Solution: 1in.=16ft
A scale drawing:

Practice makes perfect
We are given that a square baseball diamond has a diagonal of 128feet, and we are asked to choose an appropriate scale of this playing area to fit on a sheet of paper of dimensions of 8.5inches*11inches. First, we will evaluate the quotients of the corresponding dimensions. &128feet/8.5inches=15.06feet per inch &128feet/11inches≈ 11.64feet 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 15.06>11.64, we will round 15.05 to the nearest integer that is not less than this number. 15.06≈16 Therefore, an appropriate scale of the court will be 1in.=16ft. Notice that this is only a sample answer. Next, we are asked to construct a scale drawing of this playing area. To do this, let's evaluate the diagonal of a square using the scale we just found. Let d represents this dimension.
1/16=d/128
Solve for d
1*128=16* d
128=16d
128/16=d
8=d
d=8
The diagonal of a scale drawing will be 8 inches. Using this dimension, we can make an appropriate drawing.