Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN: 9780547587776
Author: HOLT MCDOUGAL
Publisher: HOLT MCDOUGAL
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Question
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Chapter 3.2, Problem 9E
To determine

To calculate: the width of the provided rectangle.

Expert Solution & Answer
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Answer to Problem 9E

The width of the rectangle is 4 units.

Explanation of Solution

Given information: a rectangle of perimeter 28 units with length 10 units and width ( x + 2).

  Holt Mcdougal Larson Pre-algebra: Student Edition 2012, Chapter 3.2, Problem 9E

Formula used:

P = 2(l+w)

Calculation:

Perimeter = 28 units

Length = 10 units

Width = ( x + 2)

Substitute the values in the formula,

  28=2(10+(x+2))28=2(10+x+2)

Use the distributive property to open the parenthesis,

  28=20+2x+4

Combine the constant terms,

  28=24+2x24+2x=28

Subtract 24 from both sides,

  24+2x−24=28−242x=4

Divide by 2 on both sides,

  2x2=42x=2

Substitute the value of x in the expression of width to find its value,

  x+2=2+2=4

To check the value of width,

  perimeter=2(length+width)28=2(10+4)28=2(14)28=28

Hence, the width of the rectangle is 4 units.

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Chapter 3.2, Problem 8E
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Chapter 3.2, Problem 10E

Chapter 3 Solutions

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

Ch. 3.1 - Prob. 1CCh. 3.1 - Prob. 2CCh. 3.1 - Prob. 3CCh. 3.1 - Prob. 4CCh. 3.1 - Prob. 5CCh. 3.1 - Prob. 6CCh. 3.1 - Prob. 7CCh. 3.1 - Prob. 8CCh. 3.1 - Prob. 9CCh. 3.1 - Prob. 10C
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