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High School Math Algebra Pre-Algebra Student Edition

The dimensions of the rectangle

The dimensions of the rectangle

Pre-Algebra Student Edition

Pre-Algebra Student Edition

1st Edition

ISBN: 9780078957734

Author: Glencoe/McGraw-Hill

Publisher: MCG

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Question

Chapter 5.1, Problem 27HP

To determine

The dimensions of the rectangle

Expert Solution & Answer

Answer to Problem 27HP

The length and breadth must be 10 feet for the maximum area.

Explanation of Solution

Given:

The perimeter is 40feet

Calculation:

The perimeter of the rectangle is given by

P=2(l+w)

Therefore,

l+l+w+w=402l+2w=40l=−w+20A=lwA=w(−w+20)A=−w2+20w∴a=−1b=20Hence,w=−b/2aw=−20/−2w=10feet

Hence, the area will be

A=−w2+20wA=−(10)2+20(10)A=100feet2

Hence, the length and breadth must be 10 feet for the maximum area.

Chapter 5.1, Problem 26HP

Chapter 5.1, Problem 28HP

Chapter 5 Solutions

Pre-Algebra Student Edition

Ch. 5.1 - Prob. 1GP Ch. 5.1 - Prob. 2GP Ch. 5.1 - Prob. 3GP Ch. 5.1 - Prob. 4GP Ch. 5.1 - Prob. 1CYU Ch. 5.1 - Prob. 2CYU Ch. 5.1 - Prob. 3CYU Ch. 5.1 - Prob. 4PPS Ch. 5.1 - Prob. 5PPS Ch. 5.1 - Prob. 6PPS

Ch. 5.1 - Prob. 7PPS Ch. 5.1 - Prob. 8PPS Ch. 5.1 - Prob. 9PPS Ch. 5.1 - Prob. 10PPS Ch. 5.1 - Prob. 11PPS Ch. 5.1 - Prob. 12PPS Ch. 5.1 - Prob. 13PPS Ch. 5.1 - Prob. 14PPS Ch. 5.1 - Prob. 15PPS Ch. 5.1 - Prob. 16PPS Ch. 5.1 - Prob. 17PPS Ch. 5.1 - Prob. 18PPS Ch. 5.1 - Prob. 19PPS Ch. 5.1 - Prob. 20PPS Ch. 5.1 - Prob. 21PPS Ch. 5.1 - Prob. 22PPS Ch. 5.1 - Prob. 23PPS Ch. 5.1 - Prob. 24PPS Ch. 5.1 - Prob. 25HP Ch. 5.1 - Prob. 26HP Ch. 5.1 - Prob. 27HP Ch. 5.1 - Prob. 28HP Ch. 5.1 - Prob. 29STP Ch. 5.1 - Prob. 30STP Ch. 5.1 - Prob. 31STP Ch. 5.1 - Prob. 32STP Ch. 5.1 - Prob. 33SR Ch. 5.1 - Prob. 34SR Ch. 5.1 - Prob. 35SR Ch. 5.1 - Prob. 36SR Ch. 5.1 - Prob. 37SR Ch. 5.1 - Prob. 38SR Ch. 5.1 - Prob. 39SR Ch. 5.1 - Prob. 40SR Ch. 5.1 - Prob. 41SR Ch. 5.1 - Prob. 42S Ch. 5.1 - Prob. 43S Ch. 5.1 - Prob. 44S Ch. 5.2 - Prob. 1AGP Ch. 5.2 - Prob. 1BGP Ch. 5.2 - Prob. 2AGP Ch. 5.2 - Prob. 2BGP Ch. 5.2 - Prob. 3GP Ch. 5.2 - Prob. 1CYU Ch. 5.2 - Prob. 2CYU Ch. 5.2 - Prob. 3CYU Ch. 5.2 - Prob. 4CYU Ch. 5.2 - Prob. 5CYU Ch. 5.2 - Prob. 6CYU Ch. 5.2 - Prob. 7CYU Ch. 5.2 - Prob. 8PPS Ch. 5.2 - Prob. 9PPS Ch. 5.2 - Prob. 10PPS Ch. 5.2 - Prob. 11PPS Ch. 5.2 - Prob. 12PPS Ch. 5.2 - Prob. 13PPS Ch. 5.2 - Prob. 14PPS Ch. 5.2 - Prob. 15PPS Ch. 5.2 - Prob. 16PPS Ch. 5.2 - Prob. 17PPS Ch. 5.2 - Prob. 18PPS Ch. 5.2 - Prob. 19PPS Ch. 5.2 - Prob. 20PPS Ch. 5.2 - Prob. 21PPS Ch. 5.2 - Prob. 22PPS Ch. 5.2 - Prob. 23PPS Ch. 5.2 - Prob. 24PPS Ch. 5.2 - Prob. 25PPS Ch. 5.2 - Prob. 26PPS Ch. 5.2 - Prob. 27PPS Ch. 5.2 - Prob. 28PPS Ch. 5.2 - Prob. 29PPS Ch. 5.2 - Prob. 30HP Ch. 5.2 - Prob. 31HP Ch. 5.2 - Prob. 32HP Ch. 5.2 - Prob. 33HP Ch. 5.2 - Prob. 34HP Ch. 5.2 - Prob. 35STP Ch. 5.2 - Prob. 36STP Ch. 5.2 - Prob. 37STP Ch. 5.2 - Prob. 38STP Ch. 5.2 - Prob. 39SR Ch. 5.2 - Prob. 40SR Ch. 5.2 - Prob. 41SR Ch. 5.2 - Prob. 42SR Ch. 5.2 - Prob. 43SR Ch. 5.2 - Prob. 44SR Ch. 5.2 - Prob. 45SR Ch. 5.2 - Prob. 46SR Ch. 5.2 - Prob. 47S Ch. 5.2 - Prob. 48S Ch. 5.2 - Prob. 49S Ch. 5.3 - Prob. 1AGP Ch. 5.3 - Prob. 1BGP Ch. 5.3 - Prob. 2GP Ch. 5.3 - Prob. 3AGP Ch. 5.3 - Prob. 3BGP Ch. 5.3 - Prob. 4AGP Ch. 5.3 - Prob. 4BGP Ch. 5.3 - Prob. 4CGP Ch. 5.3 - Prob. 5AGP Ch. 5.3 - Prob. 5BGP Ch. 5.3 - Prob. 1CYU Ch. 5.3 - Prob. 2CYU Ch. 5.3 - Prob. 3CYU Ch. 5.3 - Prob. 4CYU Ch. 5.3 - Prob. 5CYU Ch. 5.3 - Prob. 6CYU Ch. 5.3 - Prob. 7CYU Ch. 5.3 - Prob. 8CYU Ch. 5.3 - Prob. 9CYU Ch. 5.3 - Prob. 10CYU Ch. 5.3 - Prob. 11CYU Ch. 5.3 - Prob. 12PPS Ch. 5.3 - Prob. 13PPS Ch. 5.3 - Prob. 14PPS Ch. 5.3 - Prob. 15PPS Ch. 5.3 - Prob. 16PPS Ch. 5.3 - Prob. 17PPS Ch. 5.3 - Prob. 18PPS Ch. 5.3 - Prob. 19PPS Ch. 5.3 - Prob. 20PPS Ch. 5.3 - Prob. 21PPS Ch. 5.3 - Prob. 22PPS Ch. 5.3 - Prob. 23PPS Ch. 5.3 - Prob. 24PPS Ch. 5.3 - Prob. 25PPS Ch. 5.3 - Prob. 26PPS Ch. 5.3 - Prob. 27PPS Ch. 5.3 - Prob. 28PPS Ch. 5.3 - Prob. 29PPS Ch. 5.3 - Prob. 30PPS Ch. 5.3 - Prob. 31PPS Ch. 5.3 - Prob. 32PPS Ch. 5.3 - Prob. 33PPS Ch. 5.3 - Prob. 34PPS Ch. 5.3 - Prob. 35PPS Ch. 5.3 - Prob. 36PPS Ch. 5.3 - Prob. 37PPS Ch. 5.3 - Prob. 39HP Ch. 5.3 - Prob. 41HP Ch. 5.3 - Prob. 42HP Ch. 5.3 - Prob. 43HP Ch. 5.3 - Prob. 44STP Ch. 5.3 - Prob. 45STP Ch. 5.3 - Prob. 46STP Ch. 5.3 - Prob. 47STP Ch. 5.3 - Prob. 48SR Ch. 5.3 - Prob. 49SR Ch. 5.3 - Prob. 50SR Ch. 5.3 - Prob. 51SR Ch. 5.3 - Prob. 52SR Ch. 5.3 - Prob. 53SR Ch. 5.3 - Prob. 54SR Ch. 5.3 - Prob. 55SR Ch. 5.3 - Prob. 56SR Ch. 5.3 - Prob. 57SR Ch. 5.3 - Prob. 58SR Ch. 5.3 - Prob. 59SR Ch. 5.3 - Prob. 60SR Ch. 5.3 - Prob. 61S Ch. 5.3 - Prob. 62S Ch. 5.3 - Prob. 63S Ch. 5.3 - Prob. 64S Ch. 5.3 - Prob. 65S Ch. 5.3 - Prob. 66S Ch. 5.4 - Prob. 1AGP Ch. 5.4 - Prob. 1BGP Ch. 5.4 - Prob. 2AGP Ch. 5.4 - Prob. 2BGP Ch. 5.4 - Prob. 3GP Ch. 5.4 - Prob. 4AGP Ch. 5.4 - Prob. 4BGP Ch. 5.4 - Prob. 1CYU Ch. 5.4 - Prob. 2CYU Ch. 5.4 - Prob. 3CYU Ch. 5.4 - Prob. 4CYU Ch. 5.4 - Prob. 5CYU Ch. 5.4 - Prob. 6CYU Ch. 5.4 - Prob. 7CYU Ch. 5.4 - Prob. 8CYU Ch. 5.4 - Prob. 9CYU Ch. 5.4 - Prob. 10CYU Ch. 5.4 - Prob. 11PPS Ch. 5.4 - Prob. 12PPS Ch. 5.4 - Prob. 13PPS Ch. 5.4 - Prob. 14PPS Ch. 5.4 - Prob. 15PPS Ch. 5.4 - Prob. 16PPS Ch. 5.4 - Prob. 17PPS Ch. 5.4 - Prob. 18PPS Ch. 5.4 - Prob. 19PPS Ch. 5.4 - Prob. 20PPS Ch. 5.4 - Prob. 21PPS Ch. 5.4 - Prob. 22PPS Ch. 5.4 - Prob. 23PPS Ch. 5.4 - Prob. 24PPS Ch. 5.4 - Prob. 25PPS Ch. 5.4 - Prob. 26PPS Ch. 5.4 - Prob. 27PPS Ch. 5.4 - Prob. 28PPS Ch. 5.4 - Prob. 29PPS Ch. 5.4 - Prob. 30PPS Ch. 5.4 - Prob. 31PPS Ch. 5.4 - Prob. 32PPS Ch. 5.4 - Prob. 33PPS Ch. 5.4 - Prob. 34PPS Ch. 5.4 - Prob. 35PPS Ch. 5.4 - Prob. 36PPS Ch. 5.4 - Prob. 37PPS Ch. 5.4 - Prob. 38PPS Ch. 5.4 - Prob. 39PPS Ch. 5.4 - Prob. 40PPS Ch. 5.4 - Prob. 41PPS Ch. 5.4 - Prob. 42PPS Ch. 5.4 - Prob. 43PPS Ch. 5.4 - Prob. 44PPS Ch. 5.4 - Prob. 45PPS Ch. 5.4 - Prob. 46PPS Ch. 5.4 - Prob. 47PPS Ch. 5.4 - Prob. 48PPS Ch. 5.4 - Prob. 49PPS Ch. 5.4 - Prob. 50PPS Ch. 5.4 - Prob. 51PPS Ch. 5.4 - Prob. 52PPS Ch. 5.4 - Prob. 53PPS Ch. 5.4 - Prob. 54PPS Ch. 5.4 - Prob. 55PPS Ch. 5.4 - Prob. 56PPS Ch. 5.4 - Prob. 57PPS Ch. 5.4 - Prob. 58PPS Ch. 5.4 - Prob. 59PPS Ch. 5.4 - Prob. 60PPS Ch. 5.4 - Prob. 61PPS Ch. 5.4 - Prob. 62PPS Ch. 5.4 - Prob. 63PPS Ch. 5.4 - Prob. 64PPS Ch. 5.4 - Prob. 65PPS Ch. 5.4 - Prob. 66PPS Ch. 5.4 - Prob. 67HP Ch. 5.4 - Prob. 68HP Ch. 5.4 - Prob. 69HP Ch. 5.4 - Prob. 70HP Ch. 5.4 - Prob. 71HP Ch. 5.4 - Prob. 72HP Ch. 5.4 - Prob. 73STP Ch. 5.4 - Prob. 74STP Ch. 5.4 - Prob. 75STP Ch. 5.4 - Prob. 76STP Ch. 5.4 - Prob. 77SR Ch. 5.4 - Prob. 78SR Ch. 5.4 - Prob. 79SR Ch. 5.4 - Prob. 80SR Ch. 5.4 - Prob. 81SR Ch. 5.4 - Prob. 82SR Ch. 5.4 - Prob. 83SR Ch. 5.4 - Prob. 84SR Ch. 5.4 - Prob. 85SR Ch. 5.4 - Prob. 86SR Ch. 5.4 - Prob. 87S Ch. 5.4 - Prob. 88S Ch. 5.4 - Prob. 89S Ch. 5.4 - Prob. 90S Ch. 5.4 - Prob. 91S Ch. 5.4 - Prob. 92S Ch. 5.5 - Prob. 1AGP Ch. 5.5 - Prob. 1BGP Ch. 5.5 - Prob. 2AGP Ch. 5.5 - Prob. 2BGP Ch. 5.5 - Prob. 3GP Ch. 5.5 - Prob. 4AGP Ch. 5.5 - Prob. 4BGP Ch. 5.5 - Prob. 5AGP Ch. 5.5 - Prob. 5BGP Ch. 5.5 - Prob. 1CYU Ch. 5.5 - Prob. 2CYU Ch. 5.5 - Prob. 3CYU Ch. 5.5 - Prob. 4CYU Ch. 5.5 - Prob. 5CYU Ch. 5.5 - Prob. 6CYU Ch. 5.5 - Prob. 7CYU Ch. 5.5 - Prob. 8CYU Ch. 5.5 - Prob. 9CYU Ch. 5.5 - Prob. 10CYU Ch. 5.5 - Prob. 11CYU Ch. 5.5 - Prob. 12CYU Ch. 5.5 - Prob. 13CYU Ch. 5.5 - Prob. 14CYU Ch. 5.5 - Prob. 15CYU Ch. 5.5 - Prob. 16CYU Ch. 5.5 - Prob. 17CYU Ch. 5.5 - Prob. 18PPS Ch. 5.5 - Prob. 19PPS Ch. 5.5 - Prob. 20PPS Ch. 5.5 - Prob. 21PPS Ch. 5.5 - Prob. 22PPS Ch. 5.5 - Prob. 23PPS Ch. 5.5 - Prob. 24PPS Ch. 5.5 - Prob. 25PPS Ch. 5.5 - Prob. 26PPS Ch. 5.5 - Prob. 27PPS Ch. 5.5 - Prob. 28PPS Ch. 5.5 - Prob. 29PPS Ch. 5.5 - Prob. 30PPS Ch. 5.5 - Prob. 31PPS Ch. 5.5 - Prob. 32PPS Ch. 5.5 - Prob. 33PPS Ch. 5.5 - Prob. 34PPS Ch. 5.5 - Prob. 35PPS Ch. 5.5 - Prob. 36PPS Ch. 5.5 - Prob. 37PPS Ch. 5.5 - Prob. 38PPS Ch. 5.5 - Prob. 39PPS Ch. 5.5 - Prob. 40PPS Ch. 5.5 - Prob. 41PPS Ch. 5.5 - Prob. 42PPS Ch. 5.5 - Prob. 43PPS Ch. 5.5 - Prob. 44PPS Ch. 5.5 - Prob. 45PPS Ch. 5.5 - Prob. 46PPS Ch. 5.5 - Prob. 47PPS Ch. 5.5 - Prob. 48PPS Ch. 5.5 - Prob. 49PPS Ch. 5.5 - Prob. 50PPS Ch. 5.5 - Prob. 51HP Ch. 5.5 - Prob. 52HP Ch. 5.5 - Prob. 53HP Ch. 5.5 - Prob. 54HP Ch. 5.5 - Prob. 55HP Ch. 5.5 - Prob. 56STP Ch. 5.5 - Prob. 57STP Ch. 5.5 - Prob. 58STP Ch. 5.5 - Prob. 59STP Ch. 5.5 - Prob. 60SR Ch. 5.5 - Prob. 61SR Ch. 5.5 - Prob. 62SR Ch. 5.5 - Prob. 63SR Ch. 5.5 - Prob. 64SR Ch. 5.5 - Prob. 65SR Ch. 5.5 - Prob. 66SR Ch. 5.5 - Prob. 67SR Ch. 5.5 - Prob. 68SR Ch. 5.5 - Prob. 69SR Ch. 5.5 - Prob. 70SR Ch. 5.5 - Prob. 71SR Ch. 5.5 - Prob. 72SR Ch. 5.5 - Prob. 73SR Ch. 5.5 - Prob. 74SR Ch. 5.5 - Prob. 75S Ch. 5.5 - Prob. 76S Ch. 5.5 - Prob. 77S Ch. 5.5 - Prob. 78S Ch. 5 - Prob. 1QC Ch. 5 - Prob. 2QC Ch. 5 - Prob. 3QC Ch. 5 - Prob. 4QC Ch. 5 - Prob. 5QC Ch. 5 - Prob. 6QC Ch. 5 - Prob. 7QC Ch. 5 - Prob. 8QC Ch. 5 - Prob. 9QC Ch. 5 - Prob. 10QC Ch. 5 - Prob. 11QC Ch. 5 - Prob. 12QC Ch. 5 - Prob. 13QC Ch. 5 - Prob. 14QC Ch. 5 - Prob. 15QC Ch. 5 - Prob. 16QC Ch. 5 - Prob. 17QC Ch. 5 - Prob. 18QC Ch. 5 - Prob. 19QC Ch. 5 - Prob. 20QC Ch. 5 - Prob. 21QC Ch. 5 - Prob. 1MCQ Ch. 5 - Prob. 2MCQ Ch. 5 - Prob. 3MCQ Ch. 5 - Prob. 4MCQ Ch. 5 - Prob. 5MCQ Ch. 5 - Prob. 6MCQ Ch. 5 - Prob. 7MCQ Ch. 5 - Prob. 8MCQ Ch. 5 - Prob. 9MCQ Ch. 5 - Prob. 10MCQ Ch. 5 - Prob. 11MCQ Ch. 5 - Prob. 12MCQ Ch. 5 - Prob. 13MCQ Ch. 5 - Prob. 14MCQ Ch. 5 - Prob. 15MCQ Ch. 5 - Prob. 16MCQ Ch. 5 - Prob. 17MCQ Ch. 5 - Prob. 18MCQ Ch. 5 - Prob. 19MCQ Ch. 5 - Prob. 20MCQ Ch. 5 - Prob. 1SGR Ch. 5 - Prob. 2SGR Ch. 5 - Prob. 3SGR Ch. 5 - Prob. 4SGR Ch. 5 - Prob. 5SGR Ch. 5 - Prob. 6SGR Ch. 5 - Prob. 7SGR Ch. 5 - Prob. 8SGR Ch. 5 - Prob. 9SGR Ch. 5 - Prob. 10SGR Ch. 5 - Prob. 11SGR Ch. 5 - Prob. 12SGR Ch. 5 - Prob. 13SGR Ch. 5 - Prob. 14SGR Ch. 5 - Prob. 15SGR Ch. 5 - Prob. 16SGR Ch. 5 - Prob. 17SGR Ch. 5 - Prob. 18SGR Ch. 5 - Prob. 19SGR Ch. 5 - Prob. 20SGR Ch. 5 - Prob. 21SGR Ch. 5 - Prob. 22SGR Ch. 5 - Prob. 23SGR Ch. 5 - Prob. 24SGR Ch. 5 - Prob. 25SGR Ch. 5 - Prob. 26SGR Ch. 5 - Prob. 27SGR Ch. 5 - Prob. 28SGR Ch. 5 - Prob. 29SGR Ch. 5 - Prob. 30SGR Ch. 5 - Prob. 31SGR Ch. 5 - Prob. 32SGR Ch. 5 - Prob. 33SGR Ch. 5 - Prob. 34SGR Ch. 5 - Prob. 35SGR Ch. 5 - Prob. 36SGR Ch. 5 - Prob. 37SGR Ch. 5 - Prob. 38SGR Ch. 5 - Prob. 39SGR Ch. 5 - Prob. 40SGR Ch. 5 - Prob. 41SGR Ch. 5 - Prob. 42SGR Ch. 5 - Prob. 43SGR Ch. 5 - Prob. 44SGR Ch. 5 - Prob. 45SGR Ch. 5 - Prob. 46SGR Ch. 5 - Prob. 47SGR Ch. 5 - Prob. 48SGR Ch. 5 - Prob. 1PT Ch. 5 - Prob. 2PT Ch. 5 - Prob. 3PT Ch. 5 - Prob. 4PT Ch. 5 - Prob. 5PT Ch. 5 - Prob. 6PT Ch. 5 - Prob. 7PT Ch. 5 - Prob. 8PT Ch. 5 - Prob. 9PT Ch. 5 - Prob. 10PT Ch. 5 - Prob. 11PT Ch. 5 - Prob. 12PT Ch. 5 - Prob. 13PT Ch. 5 - Prob. 14PT Ch. 5 - Prob. 15PT Ch. 5 - Prob. 16PT Ch. 5 - Prob. 17PT Ch. 5 - Prob. 18PT Ch. 5 - Prob. 19PT Ch. 5 - Prob. 20PT Ch. 5 - Prob. 21PT Ch. 5 - Prob. 22PT Ch. 5 - Prob. 23PT Ch. 5 - Prob. 24PT Ch. 5 - Prob. 25PT Ch. 5 - Prob. 1E Ch. 5 - Prob. 2E Ch. 5 - Prob. 3E Ch. 5 - Prob. 1STP Ch. 5 - Prob. 2STP Ch. 5 - Prob. 3STP Ch. 5 - Prob. 4STP Ch. 5 - Prob. 5STP Ch. 5 - Prob. 6STP Ch. 5 - Prob. 7STP Ch. 5 - Prob. 8STP Ch. 5 - Prob. 9STP Ch. 5 - Prob. 10STP Ch. 5 - Prob. 11STP Ch. 5 - Prob. 12STP Ch. 5 - Prob. 13STP Ch. 5 - Prob. 14STP

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