Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00 Edition
ISBN: 9780395977224
Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher: McDougal Littell
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Sequence and Series
A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.
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Chapter 1.7, Problem 16P
To determine

To calculate: Solve using the five-stepplan.A rectangle and a square have the same width, but the rectangle is 5 m longer than the square. Their total area is 133 m2 . Find the dimensions of each figure. Choices for the square's width: 6, 7, 8.

Expert Solution & Answer
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Answer to Problem 16P

The width of rectangleand square is a=7 m and the length of rectangle is a+5=7+5=12 m

Explanation of Solution

Given information:A rectangle and a square have the same width but the rectangle is 5 m longer than the square and their total area is 133 m2 .

Calculation:

Step 1: Here we have two unknowns, length of the rectangle and width of square and rectangle.

Step 2: Let a be the width of square and rectangle and a+7 be the length of rectangle.

Step 3: As given, their total area is 133 m2 , such that a2+a(a+5)=133

Step 4: Choices for a are given as 6, 7, 8.

    aa2+a(a+5)=133 True / False
    662+6(6+5)=133False
    772+7(7+5)=133True
    882+8(8+5)=133False

From above table we can say that the width of rectangle and square is a=7 m and the length of rectangle is a+5=7+5=12 m

Step 5: Now we verify the answer

The length is 5 m longer than the length of square, such that 12−7=5 which is correct

The total area is 133 m2 : 72+7(12)=133 , which is also correct.

Previous
Chapter 1.7, Problem 15P
Next
Chapter 1.7, Problem 17P

Chapter 1 Solutions

Algebra: Structure And Method, Book 1

Ch. 1.1 - Prob. 1OECh. 1.1 - Prob. 2OECh. 1.1 - Prob. 3OECh. 1.1 - Prob. 4OECh. 1.1 - Prob. 5OECh. 1.1 - Prob. 6OECh. 1.1 - Prob. 7OECh. 1.1 - Prob. 8OECh. 1.1 - Prob. 9OECh. 1.1 - Prob. 10OE
Ch. 1.1 - Prob. 11OECh. 1.1 - Prob. 12OECh. 1.1 - Prob. 13OECh. 1.1 - Prob. 14OECh. 1.1 - Prob. 15OECh. 1.1 - Prob. 16OECh. 1.1 - Prob. 17OECh. 1.1 - Prob. 18OECh. 1.1 - Prob. 19OECh. 1.1 - Prob. 20OECh. 1.1 - Prob. 21OECh. 1.1 - Prob. 22OECh. 1.1 - Prob. 23OECh. 1.1 - Prob. 24OECh. 1.1 - Prob. 25OECh. 1.1 - Prob. 26OECh. 1.1 - Prob. 1WECh. 1.1 - Prob. 2WECh. 1.1 - Prob. 3WECh. 1.1 - Prob. 4WECh. 1.1 - Prob. 5WECh. 1.1 - Prob. 6WECh. 1.1 - Prob. 7WECh. 1.1 - Prob. 8WECh. 1.1 - Prob. 9WECh. 1.1 - Prob. 10WECh. 1.1 - Prob. 11WECh. 1.1 - Prob. 12WECh. 1.1 - Prob. 13WECh. 1.1 - Prob. 14WECh. 1.1 - Prob. 15WECh. 1.1 - Prob. 16WECh. 1.1 - Prob. 17WECh. 1.1 - Prob. 18WECh. 1.1 - Prob. 19WECh. 1.1 - Prob. 20WECh. 1.1 - Prob. 21WECh. 1.1 - Prob. 22WECh. 1.1 - Prob. 23WECh. 1.1 - Prob. 24WECh. 1.1 - Prob. 25WECh. 1.1 - Prob. 26WECh. 1.1 - Prob. 27WECh. 1.1 - Prob. 28WECh. 1.1 - Prob. 29WECh. 1.1 - Prob. 30WECh. 1.1 - Prob. 31WECh. 1.1 - Prob. 32WECh. 1.1 - Prob. 33WECh. 1.1 - Prob. 34WECh. 1.1 - Prob. 35WECh. 1.1 - Prob. 36WECh. 1.1 - Prob. 37WECh. 1.1 - Prob. 38WECh. 1.1 - Prob. 39WECh. 1.1 - Prob. 40WECh. 1.1 - Prob. 41WECh. 1.1 - Prob. 42WECh. 1.1 - Prob. 43WECh. 1.1 - Prob. 44WECh. 1.1 - Prob. 45WECh. 1.1 - Prob. 46WECh. 1.1 - Prob. 47WECh. 1.1 - Prob. 48WECh. 1.1 - Prob. 49WECh. 1.1 - Prob. 1MRECh. 1.1 - Prob. 2MRECh. 1.1 - Prob. 3MRECh. 1.1 - Prob. 4MRECh. 1.1 - Prob. 5MRECh. 1.1 - Prob. 6MRECh. 1.1 - Prob. 7MRECh. 1.1 - Prob. 8MRECh. 1.1 - Prob. 9MRECh. 1.1 - Prob. 10MRECh. 1.1 - Prob. 11MRECh. 1.1 - Prob. 12MRECh. 1.1 - Prob. 13MRECh. 1.1 - Prob. 14MRECh. 1.1 - Prob. 15MRECh. 1.1 - Prob. 16MRECh. 1.1 - Prob. 1ECh. 1.1 - Prob. 2ECh. 1.2 - Prob. 1OECh. 1.2 - Prob. 2OECh. 1.2 - Prob. 3OECh. 1.2 - Prob. 4OECh. 1.2 - Prob. 5OECh. 1.2 - Prob. 6OECh. 1.2 - Prob. 7OECh. 1.2 - Prob. 8OECh. 1.2 - Prob. 9OECh. 1.2 - Prob. 10OECh. 1.2 - Prob. 11OECh. 1.2 - Prob. 12OECh. 1.2 - Prob. 13OECh. 1.2 - Prob. 14OECh. 1.2 - Prob. 15OECh. 1.2 - Prob. 16OECh. 1.2 - Prob. 17OECh. 1.2 - Prob. 18OECh. 1.2 - Prob. 19OECh. 1.2 - Prob. 20OECh. 1.2 - Prob. 1WECh. 1.2 - Prob. 2WECh. 1.2 - Prob. 3WECh. 1.2 - Prob. 4WECh. 1.2 - Prob. 5WECh. 1.2 - Prob. 6WECh. 1.2 - Prob. 7WECh. 1.2 - Prob. 8WECh. 1.2 - Prob. 9WECh. 1.2 - Prob. 10WECh. 1.2 - Prob. 11WECh. 1.2 - Prob. 12WECh. 1.2 - Prob. 13WECh. 1.2 - Prob. 14WECh. 1.2 - Prob. 15WECh. 1.2 - Prob. 16WECh. 1.2 - Prob. 17WECh. 1.2 - Prob. 18WECh. 1.2 - Prob. 19WECh. 1.2 - Prob. 20WECh. 1.2 - Prob. 21WECh. 1.2 - Prob. 22WECh. 1.2 - Prob. 23WECh. 1.2 - Prob. 24WECh. 1.2 - Prob. 25WECh. 1.2 - Prob. 26WECh. 1.2 - Prob. 27WECh. 1.2 - Prob. 28WECh. 1.2 - Prob. 29WECh. 1.2 - Prob. 30WECh. 1.2 - Prob. 31WECh. 1.2 - Prob. 32WECh. 1.2 - Prob. 33WECh. 1.2 - Prob. 34WECh. 1.2 - Prob. 35WECh. 1.2 - Prob. 36WECh. 1.2 - Prob. 37WECh. 1.2 - Prob. 38WECh. 1.2 - Prob. 39WECh. 1.2 - Prob. 40WECh. 1.2 - Prob. 41WECh. 1.2 - Prob. 42WECh. 1.2 - Prob. 43WECh. 1.2 - Prob. 44WECh. 1.2 - Prob. 45WECh. 1.2 - Prob. 46WECh. 1.2 - Prob. 1MRECh. 1.2 - Prob. 2MRECh. 1.2 - Prob. 3MRECh. 1.2 - 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Prob. 20OECh. 1.4 - Prob. 1WECh. 1.4 - Prob. 2WECh. 1.4 - Prob. 3WECh. 1.4 - Prob. 4WECh. 1.4 - Prob. 5WECh. 1.4 - Prob. 6WECh. 1.4 - Prob. 7WECh. 1.4 - Prob. 8WECh. 1.4 - Prob. 9WECh. 1.4 - Prob. 10WECh. 1.4 - Prob. 11WECh. 1.4 - Prob. 12WECh. 1.4 - Prob. 13WECh. 1.4 - Prob. 14WECh. 1.4 - Prob. 15WECh. 1.4 - Prob. 16WECh. 1.4 - Prob. 17WECh. 1.4 - Prob. 18WECh. 1.4 - Prob. 19WECh. 1.4 - Prob. 20WECh. 1.4 - Prob. 21WECh. 1.4 - Prob. 22WECh. 1.4 - Prob. 23WECh. 1.4 - Prob. 24WECh. 1.4 - Prob. 25WECh. 1.4 - Prob. 26WECh. 1.4 - Prob. 27WECh. 1.4 - Prob. 28WECh. 1.4 - Prob. 29WECh. 1.4 - Prob. 30WECh. 1.4 - Prob. 31WECh. 1.4 - Prob. 32WECh. 1.4 - Prob. 33WECh. 1.4 - Prob. 34WECh. 1.4 - Prob. 35WECh. 1.4 - Prob. 36WECh. 1.4 - Prob. 37WECh. 1.4 - Prob. 38WECh. 1.4 - Prob. 39WECh. 1.4 - Prob. 40WECh. 1.4 - Prob. 41WECh. 1.4 - Prob. 42WECh. 1.4 - Prob. 43WECh. 1.4 - Prob. 44WECh. 1.4 - Prob. 45WECh. 1.4 - Prob. 46WECh. 1.4 - Prob. 47WECh. 1.4 - Prob. 48WECh. 1.4 - Prob. 49WECh. 1.4 - Prob. 50WECh. 1.4 - Prob. 51WECh. 1.4 - Prob. 52WECh. 1.4 - Prob. 53WECh. 1.4 - Prob. 54WECh. 1.4 - Prob. 1MRECh. 1.4 - Prob. 2MRECh. 1.4 - Prob. 3MRECh. 1.4 - Prob. 4MRECh. 1.4 - Prob. 5MRECh. 1.4 - Prob. 6MRECh. 1.4 - Prob. 7MRECh. 1.4 - Prob. 8MRECh. 1.4 - Prob. 9MRECh. 1.4 - Prob. 10MRECh. 1.4 - Prob. 11MRECh. 1.4 - Prob. 12MRECh. 1.4 - Prob. 13MRECh. 1.4 - Prob. 14MRECh. 1.5 - Prob. 1OECh. 1.5 - Prob. 2OECh. 1.5 - Prob. 3OECh. 1.5 - Prob. 4OECh. 1.5 - Prob. 5OECh. 1.5 - Prob. 6OECh. 1.5 - Prob. 7OECh. 1.5 - Prob. 8OECh. 1.5 - Prob. 9OECh. 1.5 - Prob. 10OECh. 1.5 - Prob. 11OECh. 1.5 - Prob. 12OECh. 1.5 - Prob. 13OECh. 1.5 - Prob. 1WECh. 1.5 - Prob. 2WECh. 1.5 - Prob. 3WECh. 1.5 - Prob. 4WECh. 1.5 - Prob. 5WECh. 1.5 - Prob. 6WECh. 1.5 - Prob. 7WECh. 1.5 - Prob. 8WECh. 1.5 - Prob. 9WECh. 1.5 - Prob. 10WECh. 1.5 - Prob. 11WECh. 1.5 - Prob. 12WECh. 1.5 - Prob. 13WECh. 1.5 - Prob. 14WECh. 1.5 - Prob. 15WECh. 1.5 - Prob. 16WECh. 1.5 - Prob. 17WECh. 1.5 - Prob. 18WECh. 1.5 - Prob. 19WECh. 1.5 - Prob. 20WECh. 1.5 - Prob. 21WECh. 1.5 - Prob. 22WECh. 1.5 - Prob. 23WECh. 1.5 - Prob. 24WECh. 1.5 - Prob. 25WECh. 1.5 - Prob. 26WECh. 1.5 - Prob. 27WECh. 1.5 - Prob. 28WECh. 1.5 - Prob. 29WECh. 1.5 - Prob. 30WECh. 1.5 - Prob. 31WECh. 1.5 - Prob. 32WECh. 1.5 - Prob. 33WECh. 1.5 - Prob. 34WECh. 1.5 - Prob. 35WECh. 1.5 - Prob. 36WECh. 1.5 - Prob. 1MRECh. 1.5 - Prob. 2MRECh. 1.5 - Prob. 3MRECh. 1.5 - Prob. 4MRECh. 1.5 - Prob. 5MRECh. 1.5 - Prob. 6MRECh. 1.5 - Prob. 7MRECh. 1.5 - Prob. 8MRECh. 1.5 - Prob. 9MRECh. 1.5 - Prob. 10MRECh. 1.5 - Prob. 11MRECh. 1.5 - Prob. 12MRECh. 1.6 - Prob. 1PCh. 1.6 - Prob. 2PCh. 1.6 - Prob. 3PCh. 1.6 - Prob. 4PCh. 1.6 - Prob. 5PCh. 1.6 - Prob. 6PCh. 1.6 - Prob. 7PCh. 1.6 - Prob. 8PCh. 1.6 - Prob. 9PCh. 1.6 - Prob. 10PCh. 1.6 - Prob. 11PCh. 1.6 - Prob. 12PCh. 1.6 - Prob. 13PCh. 1.6 - Prob. 14PCh. 1.6 - Prob. 15PCh. 1.6 - Prob. 16PCh. 1.6 - Prob. 17PCh. 1.6 - Prob. 18PCh. 1.6 - Prob. 19PCh. 1.6 - Prob. 20PCh. 1.6 - Prob. 21PCh. 1.6 - Prob. 22PCh. 1.6 - Prob. 1MRECh. 1.6 - Prob. 2MRECh. 1.6 - Prob. 3MRECh. 1.6 - Prob. 4MRECh. 1.6 - Prob. 5MRECh. 1.6 - Prob. 6MRECh. 1.6 - Prob. 7MRECh. 1.6 - Prob. 8MRECh. 1.6 - Prob. 9MRECh. 1.6 - Prob. 10MRECh. 1.6 - Prob. 11MRECh. 1.6 - Prob. 12MRECh. 1.6 - Prob. 1ECh. 1.6 - Prob. 2ECh. 1.6 - Prob. 3ECh. 1.7 - Prob. 1PCh. 1.7 - Prob. 2PCh. 1.7 - Prob. 3PCh. 1.7 - Prob. 4PCh. 1.7 - Prob. 5PCh. 1.7 - Prob. 6PCh. 1.7 - Prob. 7PCh. 1.7 - Prob. 8PCh. 1.7 - Prob. 9PCh. 1.7 - Prob. 10PCh. 1.7 - Prob. 11PCh. 1.7 - Prob. 12PCh. 1.7 - Prob. 13PCh. 1.7 - Prob. 14PCh. 1.7 - Prob. 15PCh. 1.7 - Prob. 16PCh. 1.7 - Prob. 17PCh. 1.7 - Prob. 18PCh. 1.7 - Prob. 1MRECh. 1.7 - Prob. 2MRECh. 1.7 - Prob. 3MRECh. 1.7 - Prob. 4MRECh. 1.7 - Prob. 5MRECh. 1.7 - Prob. 6MRECh. 1.7 - Prob. 7MRECh. 1.7 - Prob. 8MRECh. 1.7 - Prob. 1STCh. 1.7 - Prob. 2STCh. 1.7 - Prob. 3STCh. 1.7 - Prob. 4STCh. 1.8 - Prob. 1OECh. 1.8 - Prob. 2OECh. 1.8 - Prob. 3OECh. 1.8 - Prob. 4OECh. 1.8 - Prob. 5OECh. 1.8 - Prob. 6OECh. 1.8 - Prob. 7OECh. 1.8 - Prob. 8OECh. 1.8 - Prob. 9OECh. 1.8 - Prob. 10OECh. 1.8 - Prob. 11OECh. 1.8 - Prob. 12OECh. 1.8 - Prob. 13OECh. 1.8 - Prob. 14OECh. 1.8 - Prob. 15OECh. 1.8 - Prob. 16OECh. 1.8 - Prob. 17OECh. 1.8 - Prob. 18OECh. 1.8 - Prob. 19OECh. 1.8 - Prob. 20OECh. 1.8 - Prob. 21OECh. 1.8 - Prob. 22OECh. 1.8 - Prob. 23OECh. 1.8 - Prob. 24OECh. 1.8 - Prob. 1WECh. 1.8 - Prob. 2WECh. 1.8 - Prob. 3WECh. 1.8 - Prob. 4WECh. 1.8 - Prob. 5WECh. 1.8 - Prob. 6WECh. 1.8 - Prob. 7WECh. 1.8 - Prob. 8WECh. 1.8 - Prob. 9WECh. 1.8 - Prob. 10WECh. 1.8 - Prob. 11WECh. 1.8 - Prob. 12WECh. 1.8 - Prob. 13WECh. 1.8 - Prob. 14WECh. 1.8 - Prob. 15WECh. 1.8 - Prob. 16WECh. 1.8 - Prob. 17WECh. 1.8 - Prob. 18WECh. 1.8 - Prob. 19WECh. 1.8 - Prob. 20WECh. 1.8 - Prob. 21WECh. 1.8 - Prob. 22WECh. 1.8 - Prob. 23WECh. 1.8 - Prob. 24WECh. 1.8 - Prob. 25WECh. 1.8 - Prob. 26WECh. 1.8 - Prob. 27WECh. 1.8 - Prob. 28WECh. 1.8 - Prob. 29WECh. 1.8 - Prob. 30WECh. 1.8 - Prob. 31WECh. 1.8 - Prob. 32WECh. 1.8 - Prob. 33WECh. 1.8 - Prob. 34WECh. 1.8 - Prob. 35WECh. 1.8 - Prob. 36WECh. 1.8 - Prob. 37WECh. 1.8 - Prob. 38WECh. 1.8 - Prob. 39WECh. 1.8 - Prob. 40WECh. 1.8 - Prob. 41WECh. 1.8 - Prob. 42WECh. 1.8 - Prob. 43WECh. 1.8 - Prob. 44WECh. 1.8 - Prob. 45WECh. 1.8 - Prob. 46WECh. 1.8 - Prob. 47WECh. 1.8 - Prob. 48WECh. 1.8 - Prob. 49WECh. 1.8 - Prob. 50WECh. 1.8 - Prob. 51WECh. 1.8 - Prob. 52WECh. 1.8 - Prob. 53WECh. 1.8 - Prob. 54WECh. 1.8 - Prob. 55WECh. 1.8 - Prob. 56WECh. 1.8 - Prob. 57WECh. 1.8 - Prob. 58WECh. 1.8 - Prob. 1MRECh. 1.8 - Prob. 2MRECh. 1.8 - Prob. 3MRECh. 1.8 - Prob. 4MRECh. 1.8 - Prob. 5MRECh. 1.8 - Prob. 6MRECh. 1.8 - Prob. 7MRECh. 1.8 - Prob. 8MRECh. 1.8 - Prob. 9MRECh. 1.8 - Prob. 10MRECh. 1.9 - Prob. 1OECh. 1.9 - Prob. 2OECh. 1.9 - Prob. 3OECh. 1.9 - Prob. 4OECh. 1.9 - Prob. 5OECh. 1.9 - Prob. 6OECh. 1.9 - Prob. 7OECh. 1.9 - Prob. 8OECh. 1.9 - Prob. 9OECh. 1.9 - Prob. 10OECh. 1.9 - Prob. 11OECh. 1.9 - Prob. 12OECh. 1.9 - Prob. 13OECh. 1.9 - Prob. 14OECh. 1.9 - Prob. 15OECh. 1.9 - Prob. 16OECh. 1.9 - Prob. 17OECh. 1.9 - Prob. 18OECh. 1.9 - Prob. 19OECh. 1.9 - Prob. 20OECh. 1.9 - 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Prob. 45WECh. 1.9 - Prob. 1MRECh. 1.9 - Prob. 2MRECh. 1.9 - Prob. 3MRECh. 1.9 - Prob. 4MRECh. 1.9 - Prob. 5MRECh. 1.9 - Prob. 6MRECh. 1.9 - Prob. 7MRECh. 1.9 - Prob. 8MRECh. 1.9 - Prob. 9MRECh. 1.9 - Prob. 10MRECh. 1.9 - Prob. 1STCh. 1.9 - Prob. 2STCh. 1.9 - Prob. 3STCh. 1.9 - Prob. 4STCh. 1.9 - Prob. 5STCh. 1 - Prob. 1CRCh. 1 - Prob. 2CRCh. 1 - Prob. 3CRCh. 1 - Prob. 4CRCh. 1 - Prob. 5CRCh. 1 - Prob. 6CRCh. 1 - Prob. 7CRCh. 1 - Prob. 8CRCh. 1 - Prob. 9CRCh. 1 - Prob. 10CRCh. 1 - Prob. 11CRCh. 1 - Prob. 12CRCh. 1 - Prob. 1CTCh. 1 - Prob. 2CTCh. 1 - Prob. 3CTCh. 1 - Prob. 4CTCh. 1 - Prob. 5CTCh. 1 - Prob. 6CTCh. 1 - Prob. 7CTCh. 1 - Prob. 8CTCh. 1 - Prob. 9CTCh. 1 - Prob. 10CTCh. 1 - Prob. 11CTCh. 1 - Prob. 12CTCh. 1 - Prob. 13CTCh. 1 - Prob. 14CTCh. 1 - Prob. 15CTCh. 1 - Prob. 16CTCh. 1 - Prob. 17CTCh. 1 - Prob. 18CTCh. 1 - Prob. 19CTCh. 1 - Prob. 20CTCh. 1 - Prob. 1MSCh. 1 - Prob. 2MSCh. 1 - Prob. 3MSCh. 1 - Prob. 4MSCh. 1 - Prob. 5MSCh. 1 - Prob. 6MSCh. 1 - Prob. 7MSCh. 1 - Prob. 8MSCh. 1 - 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Publisher:McGraw-Hill Education
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