Glencoe Math Accelerated, Student Edition
Glencoe Math Accelerated, Student Edition
1st Edition
ISBN: 9780076637980
Author: McGraw-Hill Glencoe
Publisher: MCG
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Chapter 7.5, Problem 46IP
To determine

Write an expression in factored form that represents the area of the flower border.

Expert Solution & Answer
Check Mark

Answer to Problem 46IP

Factored form of the flower bed is 18x  +66  =  6( 3x+11) sq feet

Explanation of Solution

Given:

The diagram represents a flower border that is 3 feet wide surrounding a rectangular sitting area. Write an expression in factored form that represents the area of the flower border.

Glencoe Math Accelerated, Student Edition, Chapter 7.5, Problem 46IP

Concept Used:

Area of Flower bed = Area of big Rectangle (with flower bed / orange) − Area of small Triangle (green)

Length of big rectangle with flower bed (orange) = (3x+6)feet and height = (5+6=11) feet

Length and height of Small Rectangle (without flower bed) = 3x feet and 5 feet

To find the factor of the expression:

Step 1: find the GCF of the expression and take out the GCF from each term of the expression and write in factor form.

Example: The expression ab+ac , a is the GCF of the expression. Take out the GCF and write in factor form: ab+ac=a  ·  b+a  ·  c=a(b+c)

Calculation:

Area of Flower bed = Area of big Rectangle (with flower bed / orange) − Area of small Triangle (green)

Length of big rectangle (orange) = (3x+6)feet and height = (5+6=11) feet

Area of big rectangle with flower bed = 11  (3x+6)  sq feet

Length and height of Small Rectangle = 3x feet and 5 feet

Area of small rectangle without flower bed = 3x  ·  5  =  15x  sq feet

Area of Flower bed = Area of big Rectangle (with flower bed / orange) − Area of small Triangle (green)

Area of Flower bed = 11  (3x+6)−  15x  =  33x  +66  −15x  =  18x  +66 

Area of Flower bed = ( 18x  +66 )  sq  feet

Now find the factor of 18x  +66

  18x  +66  =   2 · 3 · 3 · x+  2 · 3 · 11  =  6( 3x+11)     GCF=6

  18x  +66  =  6( 3x+11)

Thus, factored form of the flower bed is 18x  +66  =  6( 3x+11) sq feet

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Chapter 7 Solutions

Glencoe Math Accelerated, Student Edition

Ch. 7.1 - Prob. 1GPCh. 7.1 - Prob. 2GPCh. 7.1 - Prob. 3GPCh. 7.1 - Prob. 4GPCh. 7.1 - Prob. 5GPCh. 7.1 - Prob. 6GPCh. 7.1 - Prob. 7GPCh. 7.1 - Prob. 8GPCh. 7.1 - Prob. 9GPCh. 7.1 - Prob. 10IP
Ch. 7.1 - Prob. 11IPCh. 7.1 - Prob. 12IPCh. 7.1 - Prob. 13IPCh. 7.1 - Prob. 14IPCh. 7.1 - Prob. 15IPCh. 7.1 - Prob. 16IPCh. 7.1 - Prob. 17IPCh. 7.1 - Prob. 18IPCh. 7.1 - Prob. 19IPCh. 7.1 - Prob. 20IPCh. 7.1 - Prob. 21IPCh. 7.1 - Prob. 22IPCh. 7.1 - Prob. 23IPCh. 7.1 - Prob. 24IPCh. 7.1 - Prob. 25IPCh. 7.1 - Prob. 26IPCh. 7.1 - Prob. 27IPCh. 7.1 - Prob. 28IPCh. 7.1 - Prob. 29IPCh. 7.1 - Prob. 30IPCh. 7.1 - Prob. 31IPCh. 7.1 - Prob. 32IPCh. 7.1 - Prob. 33IPCh. 7.1 - Prob. 34IPCh. 7.1 - Prob. 35IPCh. 7.1 - Prob. 36IPCh. 7.1 - Prob. 37HPCh. 7.1 - Prob. 38HPCh. 7.1 - Prob. 39HPCh. 7.1 - Prob. 40STPCh. 7.1 - Prob. 41STPCh. 7.1 - Prob. 42STPCh. 7.1 - Prob. 43STPCh. 7.1 - Prob. 44CCRCh. 7.1 - Prob. 45CCRCh. 7.1 - Prob. 46CCRCh. 7.1 - Prob. 47CCRCh. 7.1 - Prob. 48CCRCh. 7.1 - Prob. 49CCRCh. 7.1 - Prob. 50CCRCh. 7.1 - Prob. 51CCRCh. 7.1 - Prob. 52CCRCh. 7.1 - Prob. 53CCRCh. 7.2 - Prob. 1GPCh. 7.2 - Prob. 2GPCh. 7.2 - Prob. 3GPCh. 7.2 - Prob. 4GPCh. 7.2 - Prob. 5GPCh. 7.2 - Prob. 6GPCh. 7.2 - Prob. 7GPCh. 7.2 - Prob. 8GPCh. 7.2 - Prob. 9GPCh. 7.2 - Prob. 10GPCh. 7.2 - Prob. 11GPCh. 7.2 - Prob. 12GPCh. 7.2 - Prob. 13GPCh. 7.2 - Prob. 14GPCh. 7.2 - Prob. 15IPCh. 7.2 - Prob. 16IPCh. 7.2 - Prob. 17IPCh. 7.2 - Prob. 18IPCh. 7.2 - Prob. 19IPCh. 7.2 - Prob. 20IPCh. 7.2 - Prob. 21IPCh. 7.2 - Prob. 22IPCh. 7.2 - Prob. 23IPCh. 7.2 - Prob. 24IPCh. 7.2 - Prob. 25IPCh. 7.2 - Prob. 26IPCh. 7.2 - Prob. 27IPCh. 7.2 - Prob. 28IPCh. 7.2 - Prob. 29IPCh. 7.2 - Prob. 30IPCh. 7.2 - Prob. 31IPCh. 7.2 - Prob. 32IPCh. 7.2 - Prob. 33IPCh. 7.2 - Prob. 34IPCh. 7.2 - Prob. 35IPCh. 7.2 - Prob. 36IPCh. 7.2 - Prob. 37IPCh. 7.2 - Prob. 38IPCh. 7.2 - Prob. 39IPCh. 7.2 - Prob. 40IPCh. 7.2 - Prob. 41IPCh. 7.2 - Prob. 42IPCh. 7.2 - Prob. 43IPCh. 7.2 - Prob. 44IPCh. 7.2 - Prob. 45IPCh. 7.2 - Prob. 46IPCh. 7.2 - Prob. 47IPCh. 7.2 - Prob. 48IPCh. 7.2 - Prob. 49IPCh. 7.2 - Prob. 50IPCh. 7.2 - Prob. 51IPCh. 7.2 - Prob. 52IPCh. 7.2 - Prob. 53IPCh. 7.2 - Prob. 54HPCh. 7.2 - Prob. 55HPCh. 7.2 - Prob. 56HPCh. 7.2 - Prob. 57HPCh. 7.2 - Prob. 58HPCh. 7.2 - Prob. 59HPCh. 7.2 - Prob. 60STPCh. 7.2 - Prob. 61STPCh. 7.2 - Prob. 62STPCh. 7.2 - Prob. 63STPCh. 7.2 - Prob. 64CCRCh. 7.2 - Prob. 65CCRCh. 7.2 - Prob. 66CCRCh. 7.2 - Prob. 67CCRCh. 7.2 - Prob. 68CCRCh. 7.2 - Prob. 69CCRCh. 7.2 - Prob. 70CCRCh. 7.2 - Prob. 71CCRCh. 7.2 - Prob. 72CCRCh. 7.2 - Prob. 73CCRCh. 7.2 - Prob. 74CCRCh. 7.2 - Prob. 75CCRCh. 7.2 - Prob. 76CCRCh. 7.2 - Prob. 77CCRCh. 7.2 - Prob. 78CCRCh. 7.2 - Prob. 79CCRCh. 7.2 - Prob. 80CCRCh. 7.2 - Prob. 81CCRCh. 7.2 - Prob. 82CCRCh. 7.2 - Prob. 83CCRCh. 7.3 - Prob. 1GPCh. 7.3 - Prob. 2GPCh. 7.3 - Prob. 3GPCh. 7.3 - Prob. 4GPCh. 7.3 - Prob. 5GPCh. 7.3 - Prob. 6IPCh. 7.3 - Prob. 7IPCh. 7.3 - Prob. 8IPCh. 7.3 - Prob. 9IPCh. 7.3 - Prob. 10IPCh. 7.3 - Prob. 11IPCh. 7.3 - Prob. 12IPCh. 7.3 - Prob. 13IPCh. 7.3 - Prob. 14IPCh. 7.3 - Prob. 15IPCh. 7.3 - Prob. 16IPCh. 7.3 - Prob. 17IPCh. 7.3 - Prob. 18HPCh. 7.3 - Prob. 19HPCh. 7.3 - Prob. 20HPCh. 7.3 - Prob. 21HPCh. 7.3 - Prob. 22STPCh. 7.3 - Prob. 23STPCh. 7.3 - Prob. 24STPCh. 7.3 - Prob. 25STPCh. 7.3 - Prob. 26CCRCh. 7.3 - Prob. 27CCRCh. 7.3 - Prob. 28CCRCh. 7.3 - Prob. 29CCRCh. 7.3 - Prob. 30CCRCh. 7.3 - Prob. 31CCRCh. 7.3 - Prob. 32CCRCh. 7.3 - Prob. 33CCRCh. 7.3 - Prob. 34CCRCh. 7.3 - Prob. 35CCRCh. 7.3 - Prob. 36CCRCh. 7.3 - Prob. 37CCRCh. 7.3 - Prob. 38CCRCh. 7.3 - Prob. 39CCRCh. 7.3 - Prob. 40CCRCh. 7.3 - Prob. 41CCRCh. 7.3 - Prob. 42CCRCh. 7.3 - Prob. 43CCRCh. 7.3 - Prob. 44CCRCh. 7.3 - Prob. 45CCRCh. 7.3 - Prob. 46CCRCh. 7.3 - Prob. 47CCRCh. 7.4 - Prob. 1GPCh. 7.4 - Prob. 2GPCh. 7.4 - Prob. 3GPCh. 7.4 - Prob. 4GPCh. 7.4 - Prob. 5GPCh. 7.4 - Prob. 6IPCh. 7.4 - Prob. 7IPCh. 7.4 - Prob. 8IPCh. 7.4 - Prob. 9IPCh. 7.4 - Prob. 10IPCh. 7.4 - Prob. 11IPCh. 7.4 - Prob. 12IPCh. 7.4 - Prob. 13IPCh. 7.4 - Prob. 14IPCh. 7.4 - Prob. 15HPCh. 7.4 - Prob. 16HPCh. 7.4 - Prob. 17HPCh. 7.4 - Prob. 18STPCh. 7.4 - Prob. 19STPCh. 7.4 - Prob. 20STPCh. 7.4 - Prob. 21STPCh. 7.4 - Prob. 22CCRCh. 7.4 - Prob. 23CCRCh. 7.4 - Prob. 24CCRCh. 7.4 - Prob. 25CCRCh. 7.4 - Prob. 26CCRCh. 7.4 - Prob. 27CCRCh. 7.4 - Prob. 28CCRCh. 7.4 - Prob. 29CCRCh. 7.4 - Prob. 30CCRCh. 7.4 - Prob. 31CCRCh. 7.4 - Prob. 32CCRCh. 7.4 - Prob. 33CCRCh. 7.4 - Prob. 34CCRCh. 7.4 - Prob. 35CCRCh. 7.4 - Prob. 36CCRCh. 7.4 - Prob. 37CCRCh. 7.4 - Prob. 38CCRCh. 7.4 - Prob. 39CCRCh. 7.4 - Prob. 40CCRCh. 7.4 - Prob. 41CCRCh. 7.4 - Prob. 42CCRCh. 7.4 - Prob. 43CCRCh. 7.5 - Prob. 1GPCh. 7.5 - Prob. 2GPCh. 7.5 - Prob. 3GPCh. 7.5 - Prob. 4GPCh. 7.5 - Prob. 5GPCh. 7.5 - Prob. 6GPCh. 7.5 - Prob. 7GPCh. 7.5 - Prob. 8GPCh. 7.5 - Prob. 9GPCh. 7.5 - Prob. 10GPCh. 7.5 - Prob. 11GPCh. 7.5 - Prob. 12GPCh. 7.5 - Prob. 13GPCh. 7.5 - Prob. 14GPCh. 7.5 - Prob. 15GPCh. 7.5 - Prob. 16GPCh. 7.5 - Prob. 17GPCh. 7.5 - Prob. 18GPCh. 7.5 - Prob. 19GPCh. 7.5 - Prob. 20GPCh. 7.5 - Prob. 21IPCh. 7.5 - Prob. 22IPCh. 7.5 - Prob. 23IPCh. 7.5 - Prob. 24IPCh. 7.5 - Prob. 25IPCh. 7.5 - Prob. 26IPCh. 7.5 - Prob. 27IPCh. 7.5 - Prob. 28IPCh. 7.5 - Prob. 29IPCh. 7.5 - Prob. 30IPCh. 7.5 - Prob. 31IPCh. 7.5 - Prob. 32IPCh. 7.5 - Prob. 33IPCh. 7.5 - Prob. 34IPCh. 7.5 - Prob. 35IPCh. 7.5 - Prob. 36IPCh. 7.5 - Prob. 37IPCh. 7.5 - Prob. 38IPCh. 7.5 - Prob. 39IPCh. 7.5 - Prob. 40IPCh. 7.5 - Prob. 41IPCh. 7.5 - Prob. 42IPCh. 7.5 - Prob. 43IPCh. 7.5 - Prob. 44IPCh. 7.5 - Prob. 45IPCh. 7.5 - Prob. 46IPCh. 7.5 - Prob. 47IPCh. 7.5 - Prob. 48IPCh. 7.5 - Prob. 49IPCh. 7.5 - Prob. 50IPCh. 7.5 - Prob. 51HPCh. 7.5 - Prob. 52HPCh. 7.5 - Prob. 53HPCh. 7.5 - Prob. 54STPCh. 7.5 - Prob. 55STPCh. 7.5 - Prob. 56STPCh. 7.5 - Prob. 57CCRCh. 7.5 - Prob. 58CCRCh. 7.5 - Prob. 59CCRCh. 7.5 - Prob. 60CCRCh. 7.5 - Prob. 61CCRCh. 7.5 - Prob. 62CCRCh. 7.5 - Prob. 63CCRCh. 7.5 - Prob. 64CCRCh. 7.5 - Prob. 65CCRCh. 7.5 - Prob. 66CCRCh. 7.5 - Prob. 67CCRCh. 7.5 - Prob. 68CCRCh. 7 - Prob. 1CRCh. 7 - Prob. 2CRCh. 7 - Prob. 3CRCh. 7 - Prob. 4CRCh. 7 - Prob. 5CRCh. 7 - Prob. 6CRCh. 7 - Prob. 7CRCh. 7 - Prob. 8CRCh. 7 - Prob. 9CRCh. 7 - Prob. 10CRCh. 7 - Prob. 11CRCh. 7 - Prob. 12CRCh. 7 - Prob. 13CRCh. 7 - Prob. 14CRCh. 7 - Prob. 15CRCh. 7 - Prob. 16CRCh. 7 - Prob. 17CRCh. 7 - Prob. 18CRCh. 7 - Prob. 19CRCh. 7 - Prob. 20CRCh. 7 - Prob. 21CRCh. 7 - Prob. 22CRCh. 7 - Prob. 23CRCh. 7 - Prob. 24CRCh. 7 - Prob. 25CRCh. 7 - Prob. 26CRCh. 7 - Prob. 27CRCh. 7 - Prob. 28CRCh. 7 - Prob. 29CRCh. 7 - Prob. 30CRCh. 7 - Prob. 31CRCh. 7 - Prob. 32CRCh. 7 - Prob. 33CRCh. 7 - Prob. 34CRCh. 7 - Prob. 35CR

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