Page 233 - Basic College Mathematics with Early Integers

210 C HAPTE R 3 I FRACTIONS

Solution: Recall that perimeter means distance around and that opposite sides
of a rectangle are the same length.
4
15 inch 2 4 2 4 2 + 4 + 2 + 4
Perimeter = + + + =
15 15 15 15 15
2 inch 2 inch
15 15 1
#
12 3 4 4
= = =
#
4 inch 15 3 5 5
15
1
4
The perimeter of the rectangle is inch.
5
Work Practice 10
We can combine our skills in adding and subtracting fractions with our four
problem-solving steps from Chapter 1 to solve many kinds of real-life problems.

PRACTICE 11 Example 11 Calculating Distance
13 7
A jogger ran miles on The distance from home to the World Gym is of a mile and from home to the
4 3 8
11 post office is of a mile. How much farther is it from home to the World Gym than
Monday and miles on 8
4
Wednesday. How much farther from home to the post office?
did he run on Monday than on Home
Wednesday?
√ mile

≈ mile Post office

Solution:
1. UNDERSTAND. Read and reread the problem. The phrase “How much
farther” tells us to subtract distances.
2. TRANSLATE.

home to
distance home to World
In words: is minus post office
farther Gym distance
distance
T T T T T
distance 7 3
Translate: = -
farther 8 8
1
7 3 7 - 3 4 4 1
3. SOLVE: - = = = =
8 8 8 8 2 # 4 2
1
4. INTERPRET. Check your work. State your conclusion: The distance from
1
home to the World Gym is mile farther than from home to the post office.
2 Copyright 2012 Pearson Education, Inc.
Work Practice 11
Answer
1
11. mi
2