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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Question
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Chapter 4.6, Problem 27WE

a.

To determine

To find the areas of four smaller rectangles.

a.

Expert Solution
Check Mark

Answer to Problem 27WE

  x2,7x,3x,21 square unit.

Explanation of Solution

Given:

  Algebra: Structure And Method, Book 1, Chapter 4.6, Problem 27WE , additional homework tip  1

Concept used:

The area of a rectangular surface = The length of the rectangular surface × The width of the rectangular surface.

Calculation:

For the first rectangle:

The length of the rectangular surface is x unit.

The width of the rectangular surface is x unit.

Hence the area of the surface is x×x=x2 square units.

Now, the second rectangle:

The length of the rectangular surface is 7 unit.

The width of the rectangular surface is x unit.

Hence the area of the surface is 7×x=7x square units.

Then, the third rectangle:

The length of the rectangular surface is x unit.

The width of the rectangular surface is 3 unit.

Hence the area of the surface is x×3=3x square units.

For the last rectangle:

The length of the rectangular surface is 7 unit.

The width of the rectangular surface is 3 unit.

Hence the area of the surface is 7×3=21 square units.

Conclusion:

Therefore, the required areas of the four small rectangles are x2,7x,3x,21 square unit.

b.

To determine

To find the area of the original rectangle.

b.

Expert Solution
Check Mark

Answer to Problem 27WE

  x2+10x+21 square unit

Explanation of Solution

Given:

  Algebra: Structure And Method, Book 1, Chapter 4.6, Problem 27WE , additional homework tip  2

Concept used:

The area of a rectangular surface = The length of the rectangular surface × The width of the rectangular surface.

Calculation:

The total length of the rectangular surface is (x+7) unit.

The width of the rectangular surface is (x+3) unit.

Hence the area of the total surface is,

  (x+7)×(x+3)x2+7x+3x+21x2+10x+21

Conclusion:

Therefore, the area of the original rectangle is x2+10x+21 square unit.

Chapter 4 Solutions

Algebra: Structure And Method, Book 1

Ch. 4.1 - Prob. 11OECh. 4.1 - Prob. 12OECh. 4.1 - Prob. 13OECh. 4.1 - Prob. 14OECh. 4.1 - Prob. 15OECh. 4.1 - Prob. 16OECh. 4.1 - Prob. 17OECh. 4.1 - Prob. 18OECh. 4.1 - Prob. 19OECh. 4.1 - Prob. 20OECh. 4.1 - Prob. 21OECh. 4.1 - Prob. 22OECh. 4.1 - Prob. 23OECh. 4.1 - Prob. 24OECh. 4.1 - Prob. 25OECh. 4.1 - Prob. 26OECh. 4.1 - Prob. 27OECh. 4.1 - Prob. 28OECh. 4.1 - Prob. 29OECh. 4.1 - Prob. 30OECh. 4.1 - Prob. 31OECh. 4.1 - Prob. 32OECh. 4.1 - Prob. 33OECh. 4.1 - Prob. 34OECh. 4.1 - Prob. 35OECh. 4.1 - Prob. 36OECh. 4.1 - Prob. 1WECh. 4.1 - Prob. 2WECh. 4.1 - Prob. 3WECh. 4.1 - Prob. 4WECh. 4.1 - Prob. 5WECh. 4.1 - Prob. 6WECh. 4.1 - Prob. 7WECh. 4.1 - Prob. 8WECh. 4.1 - Prob. 9WECh. 4.1 - Prob. 10WECh. 4.1 - Prob. 11WECh. 4.1 - Prob. 12WECh. 4.1 - Prob. 13WECh. 4.1 - Prob. 14WECh. 4.1 - Prob. 15WECh. 4.1 - Prob. 16WECh. 4.1 - Prob. 17WECh. 4.1 - Prob. 18WECh. 4.1 - Prob. 19WECh. 4.1 - Prob. 20WECh. 4.1 - Prob. 21WECh. 4.1 - Prob. 22WECh. 4.1 - Prob. 23WECh. 4.1 - Prob. 24WECh. 4.1 - 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Prob. 7MRECh. 4.3 - Prob. 8MRECh. 4.3 - Prob. 9MRECh. 4.3 - Prob. 10MRECh. 4.3 - Prob. 11MRECh. 4.3 - Prob. 12MRECh. 4.4 - Prob. 1OECh. 4.4 - Prob. 2OECh. 4.4 - Prob. 3OECh. 4.4 - Prob. 4OECh. 4.4 - Prob. 5OECh. 4.4 - Prob. 6OECh. 4.4 - Prob. 7OECh. 4.4 - Prob. 8OECh. 4.4 - Prob. 9OECh. 4.4 - Prob. 10OECh. 4.4 - Prob. 11OECh. 4.4 - Prob. 12OECh. 4.4 - Prob. 13OECh. 4.4 - Prob. 14OECh. 4.4 - Prob. 15OECh. 4.4 - Prob. 16OECh. 4.4 - Prob. 17OECh. 4.4 - Prob. 18OECh. 4.4 - Prob. 19OECh. 4.4 - Prob. 20OECh. 4.4 - Prob. 21OECh. 4.4 - Prob. 22OECh. 4.4 - Prob. 23OECh. 4.4 - Prob. 24OECh. 4.4 - Prob. 25OECh. 4.4 - Prob. 26OECh. 4.4 - Prob. 27OECh. 4.4 - Prob. 28OECh. 4.4 - Prob. 1WECh. 4.4 - Prob. 2WECh. 4.4 - Prob. 3WECh. 4.4 - Prob. 4WECh. 4.4 - Prob. 5WECh. 4.4 - Prob. 6WECh. 4.4 - Prob. 7WECh. 4.4 - Prob. 8WECh. 4.4 - Prob. 9WECh. 4.4 - Prob. 10WECh. 4.4 - Prob. 11WECh. 4.4 - Prob. 12WECh. 4.4 - Prob. 13WECh. 4.4 - Prob. 14WECh. 4.4 - Prob. 15WECh. 4.4 - Prob. 16WECh. 4.4 - Prob. 17WECh. 4.4 - Prob. 18WECh. 4.4 - Prob. 19WECh. 4.4 - Prob. 20WECh. 4.4 - Prob. 21WECh. 4.4 - Prob. 22WECh. 4.4 - Prob. 23WECh. 4.4 - Prob. 24WECh. 4.4 - Prob. 25WECh. 4.4 - Prob. 26WECh. 4.4 - Prob. 27WECh. 4.4 - Prob. 28WECh. 4.4 - Prob. 29WECh. 4.4 - Prob. 30WECh. 4.4 - Prob. 31WECh. 4.4 - Prob. 32WECh. 4.4 - Prob. 33WECh. 4.4 - Prob. 34WECh. 4.4 - Prob. 35WECh. 4.4 - Prob. 36WECh. 4.4 - Prob. 37WECh. 4.4 - Prob. 38WECh. 4.4 - Prob. 39WECh. 4.4 - Prob. 40WECh. 4.4 - Prob. 41WECh. 4.4 - Prob. 42WECh. 4.4 - Prob. 43WECh. 4.4 - Prob. 44WECh. 4.4 - Prob. 45WECh. 4.4 - Prob. 46WECh. 4.4 - Prob. 47WECh. 4.4 - Prob. 48WECh. 4.4 - Prob. 49WECh. 4.4 - Prob. 50WECh. 4.4 - Prob. 51WECh. 4.4 - Prob. 52WECh. 4.4 - Prob. 53WECh. 4.4 - Prob. 1MRECh. 4.4 - Prob. 2MRECh. 4.4 - Prob. 3MRECh. 4.4 - Prob. 4MRECh. 4.4 - Prob. 5MRECh. 4.4 - Prob. 6MRECh. 4.4 - Prob. 7MRECh. 4.4 - Prob. 8MRECh. 4.4 - Prob. 9MRECh. 4.5 - Prob. 1OECh. 4.5 - Prob. 2OECh. 4.5 - Prob. 3OECh. 4.5 - Prob. 4OECh. 4.5 - Prob. 5OECh. 4.5 - Prob. 6OECh. 4.5 - Prob. 7OECh. 4.5 - Prob. 8OECh. 4.5 - Prob. 9OECh. 4.5 - Prob. 10OECh. 4.5 - Prob. 11OECh. 4.5 - Prob. 12OECh. 4.5 - Prob. 1WECh. 4.5 - Prob. 2WECh. 4.5 - Prob. 3WECh. 4.5 - Prob. 4WECh. 4.5 - Prob. 5WECh. 4.5 - Prob. 6WECh. 4.5 - Prob. 7WECh. 4.5 - Prob. 8WECh. 4.5 - Prob. 9WECh. 4.5 - Prob. 10WECh. 4.5 - Prob. 11WECh. 4.5 - Prob. 12WECh. 4.5 - Prob. 13WECh. 4.5 - Prob. 14WECh. 4.5 - Prob. 15WECh. 4.5 - Prob. 16WECh. 4.5 - Prob. 17WECh. 4.5 - Prob. 18WECh. 4.5 - Prob. 19WECh. 4.5 - Prob. 20WECh. 4.5 - Prob. 21WECh. 4.5 - Prob. 22WECh. 4.5 - Prob. 23WECh. 4.5 - Prob. 24WECh. 4.5 - Prob. 25WECh. 4.5 - Prob. 26WECh. 4.5 - Prob. 27WECh. 4.5 - Prob. 28WECh. 4.5 - Prob. 29WECh. 4.5 - Prob. 30WECh. 4.5 - Prob. 31WECh. 4.5 - Prob. 32WECh. 4.5 - Prob. 33WECh. 4.5 - Prob. 34WECh. 4.5 - Prob. 35WECh. 4.5 - Prob. 36WECh. 4.5 - Prob. 37WECh. 4.5 - Prob. 38WECh. 4.5 - Prob. 39WECh. 4.5 - Prob. 40WECh. 4.5 - Prob. 41WECh. 4.5 - Prob. 42WECh. 4.5 - Prob. 43WECh. 4.5 - Prob. 44WECh. 4.5 - Prob. 1MRECh. 4.5 - 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Prob. 30WECh. 4.6 - Prob. 31WECh. 4.6 - Prob. 32WECh. 4.6 - Prob. 33WECh. 4.6 - Prob. 34WECh. 4.6 - Prob. 35WECh. 4.6 - Prob. 36WECh. 4.6 - Prob. 37WECh. 4.6 - Prob. 38WECh. 4.6 - Prob. 39WECh. 4.6 - Prob. 40WECh. 4.6 - Prob. 41WECh. 4.6 - Prob. 42WECh. 4.6 - Prob. 43WECh. 4.6 - Prob. 44WECh. 4.6 - Prob. 45WECh. 4.6 - Prob. 46WECh. 4.6 - Prob. 47WECh. 4.6 - Prob. 48WECh. 4.6 - Prob. 49WECh. 4.6 - Prob. 50WECh. 4.6 - Prob. 1MRECh. 4.6 - Prob. 2MRECh. 4.6 - Prob. 3MRECh. 4.6 - Prob. 4MRECh. 4.6 - Prob. 5MRECh. 4.6 - Prob. 6MRECh. 4.6 - Prob. 7MRECh. 4.6 - Prob. 8MRECh. 4.6 - Prob. 9MRECh. 4.6 - Prob. 1STCh. 4.6 - Prob. 2STCh. 4.6 - Prob. 3STCh. 4.6 - Prob. 4STCh. 4.6 - Prob. 5STCh. 4.6 - Prob. 6STCh. 4.6 - Prob. 7STCh. 4.6 - Prob. 8STCh. 4.6 - Prob. 9STCh. 4.6 - Prob. 10STCh. 4.6 - Prob. 11STCh. 4.6 - Prob. 12STCh. 4.6 - Prob. 13STCh. 4.6 - Prob. 14STCh. 4.6 - Prob. 15STCh. 4.7 - Prob. 1OECh. 4.7 - Prob. 2OECh. 4.7 - Prob. 3OECh. 4.7 - Prob. 4OECh. 4.7 - Prob. 5OECh. 4.7 - Prob. 6OECh. 4.7 - 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Prob. 6PCh. 4.8 - Prob. 7PCh. 4.8 - Prob. 8PCh. 4.8 - Prob. 9PCh. 4.8 - Prob. 10PCh. 4.8 - Prob. 11PCh. 4.8 - Prob. 12PCh. 4.8 - Prob. 13PCh. 4.8 - Prob. 14PCh. 4.8 - Prob. 15PCh. 4.8 - Prob. 16PCh. 4.8 - Prob. 17PCh. 4.8 - Prob. 18PCh. 4.8 - Prob. 19PCh. 4.8 - Prob. 20PCh. 4.8 - Prob. 1MRECh. 4.8 - Prob. 2MRECh. 4.8 - Prob. 3MRECh. 4.8 - Prob. 4MRECh. 4.8 - Prob. 5MRECh. 4.8 - Prob. 6MRECh. 4.8 - Prob. 7MRECh. 4.8 - Prob. 8MRECh. 4.9 - Prob. 1OECh. 4.9 - Prob. 2OECh. 4.9 - Prob. 1PCh. 4.9 - Prob. 2PCh. 4.9 - Prob. 3PCh. 4.9 - Prob. 4PCh. 4.9 - Prob. 5PCh. 4.9 - Prob. 6PCh. 4.9 - Prob. 7PCh. 4.9 - Prob. 8PCh. 4.9 - Prob. 9PCh. 4.9 - Prob. 10PCh. 4.9 - Prob. 11PCh. 4.9 - Prob. 12PCh. 4.9 - Prob. 13PCh. 4.9 - Prob. 1MRECh. 4.9 - Prob. 2MRECh. 4.9 - Prob. 3MRECh. 4.9 - Prob. 4MRECh. 4.9 - Prob. 5MRECh. 4.9 - Prob. 6MRECh. 4.9 - Prob. 7MRECh. 4.9 - Prob. 8MRECh. 4.9 - Prob. 9MRECh. 4.9 - Prob. 10MRECh. 4.9 - Prob. 11MRECh. 4.9 - Prob. 12MRECh. 4.10 - Prob. 1PCh. 4.10 - Prob. 2PCh. 4.10 - Prob. 3PCh. 4.10 - Prob. 4PCh. 4.10 - Prob. 5PCh. 4.10 - Prob. 6PCh. 4.10 - Prob. 7PCh. 4.10 - Prob. 8PCh. 4.10 - Prob. 9PCh. 4.10 - Prob. 10PCh. 4.10 - Prob. 11PCh. 4.10 - Prob. 12PCh. 4.10 - Prob. 13PCh. 4.10 - Prob. 14PCh. 4.10 - Prob. 15PCh. 4.10 - Prob. 16PCh. 4.10 - Prob. 1STCh. 4.10 - Prob. 2STCh. 4.10 - Prob. 3STCh. 4.10 - Prob. 4STCh. 4 - Prob. 1CRCh. 4 - Prob. 2CRCh. 4 - Prob. 3CRCh. 4 - Prob. 4CRCh. 4 - Prob. 5CRCh. 4 - Prob. 6CRCh. 4 - Prob. 7CRCh. 4 - Prob. 8CRCh. 4 - Prob. 9CRCh. 4 - Prob. 10CRCh. 4 - Prob. 11CRCh. 4 - Prob. 12CRCh. 4 - Prob. 13CRCh. 4 - Prob. 14CRCh. 4 - Prob. 15CRCh. 4 - Prob. 16CRCh. 4 - Prob. 17CRCh. 4 - Prob. 18CRCh. 4 - Prob. 1CTCh. 4 - Prob. 2CTCh. 4 - Prob. 3CTCh. 4 - Prob. 4CTCh. 4 - Prob. 5CTCh. 4 - Prob. 6CTCh. 4 - Prob. 7CTCh. 4 - Prob. 8CTCh. 4 - Prob. 9CTCh. 4 - Prob. 10CTCh. 4 - Prob. 11CTCh. 4 - Prob. 12CTCh. 4 - Prob. 13CTCh. 4 - Prob. 14CTCh. 4 - Prob. 15CTCh. 4 - Prob. 16CTCh. 4 - Prob. 17CTCh. 4 - Prob. 18CTCh. 4 - Prob. 19CTCh. 4 - Prob. 20CTCh. 4 - Prob. 21CTCh. 4 - Prob. 22CTCh. 4 - Prob. 1CLRCh. 4 - Prob. 2CLRCh. 4 - Prob. 3CLRCh. 4 - Prob. 4CLRCh. 4 - Prob. 5CLRCh. 4 - Prob. 6CLRCh. 4 - Prob. 7CLRCh. 4 - Prob. 8CLRCh. 4 - Prob. 9CLRCh. 4 - Prob. 10CLRCh. 4 - Prob. 11CLRCh. 4 - Prob. 12CLRCh. 4 - Prob. 13CLRCh. 4 - Prob. 14CLRCh. 4 - Prob. 15CLRCh. 4 - Prob. 16CLRCh. 4 - Prob. 17CLRCh. 4 - Prob. 18CLRCh. 4 - Prob. 19CLRCh. 4 - Prob. 20CLRCh. 4 - Prob. 21CLRCh. 4 - Prob. 22CLRCh. 4 - Prob. 23CLRCh. 4 - Prob. 24CLRCh. 4 - Prob. 25CLRCh. 4 - Prob. 26CLRCh. 4 - Prob. 27CLRCh. 4 - Prob. 28CLRCh. 4 - Prob. 29CLRCh. 4 - Prob. 30CLRCh. 4 - Prob. 31CLRCh. 4 - Prob. 32CLRCh. 4 - Prob. 33CLRCh. 4 - Prob. 34CLRCh. 4 - Prob. 35CLRCh. 4 - Prob. 36CLRCh. 4 - Prob. 37CLRCh. 4 - Prob. 38CLRCh. 4 - Prob. 39CLRCh. 4 - Prob. 40CLRCh. 4 - Prob. 1MSCh. 4 - Prob. 2MSCh. 4 - Prob. 3MSCh. 4 - Prob. 4MSCh. 4 - Prob. 5MSCh. 4 - Prob. 6MSCh. 4 - Prob. 7MSCh. 4 - Prob. 8MSCh. 4 - Prob. 9MSCh. 4 - Prob. 10MSCh. 4 - Prob. 11MSCh. 4 - Prob. 12MSCh. 4 - Prob. 13MSCh. 4 - Prob. 14MSCh. 4 - Prob. 15MSCh. 4 - Prob. 16MSCh. 4 - Prob. 17MSCh. 4 - Prob. 18MSCh. 4 - Prob. 19MSCh. 4 - Prob. 20MSCh. 4 - Prob. 21MSCh. 4 - Prob. 22MSCh. 4 - Prob. 23MSCh. 4 - Prob. 24MSCh. 4 - Prob. 25MSCh. 4 - Prob. 26MSCh. 4 - Prob. 27MSCh. 4 - Prob. 28MSCh. 4 - Prob. 29MSCh. 4 - Prob. 30MSCh. 4 - Prob. 31MS
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