McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
2. The Pythagorean Theorem and Its Converse
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Exercise 61 Page 637

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

Example Answer: 1in.=2ft
Ramp' s Dimensions: 6in.*4in.

Practice makes perfect
We are given that a skateboarding ramp has dimensions of 12feet* 8feet and asked to choose an appropriate scale of the ramp to fit on a sheet of graph paper with dimensions of 10inches*8inches. First, we will evaluate the quotients of the corresponding dimensions. 12feet/10inches&=1.2feet per inch 8feet/8inches&=1feet 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 1.2>1, we will round 1.2 to the nearest integer that is not less than this number. 1.2≈ 2 Therefore, an appropriate scale of the court will be 1in.=2ft. Notice that this is only a sample answer. Next, we are asked to evaluate the ramp's dimensions. We will start with evaluating the width, which will be represented by w. To do this, we will use a scale we just found.
1/2=w/12
Solve for w
1*12=2* w
12=2w
12/2=w
6=w
w=6
The width of the ramp will be 6 inches. We will find its length in the same way. Let l represent this dimension.
1/2=l/8
Solve for l
1*8=2* l
8=2l
8/2=l
4=l
l=4
The length of the ramp will be 4 inches. Therefore, the ramp's dimensions are 6*4 inches.