Pre-Algebra, Student Edition
Pre-Algebra, Student Edition
1st Edition
ISBN: 9780078885150
Author: McGraw-Hill
Publisher: Glencoe/McGraw-Hill
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Chapter 14.8, Problem 19PPS
To determine

To calculate: The perimeter of a square whose area is x 2 +6x+9square inches.

Expert Solution & Answer
Check Mark

Answer to Problem 19PPS

The perimeter of the square is 4x+12

Explanation of Solution

Given Information:

The area of the square is x 2 +6x+9square inches.

Formula Used:

Perimeter of square =4( side )

Calculation:

The given area of the square is x 2 +6x+9square inches.

Find the factors of the expression x 2 +6x+9

Split 6x into two parts such that their product is equal to the product of x 2 and 9.

   x 2 +6x+9= x 2 +3x+3x+9 =x( x+3 )+3( x+3 ) =( x+3 )( x+3 ) = ( x+3 ) 2

The factors of the trinomial is x 2 +6x+9are x+3. Thus, the length of the sides of the square is x+3 inches.

Now, to find the perimeter, use the formula.

   Perimeter=4( side ) =4×( x+3 ) =4x+12

Hence, the perimeter of the square is 4x+12 inches.

Chapter 14 Solutions

Pre-Algebra, Student Edition

Ch. 14.1 - Prob. 4CYUCh. 14.1 - Prob. 5CYUCh. 14.1 - Prob. 6CYUCh. 14.1 - Prob. 7CYUCh. 14.1 - Prob. 8CYUCh. 14.1 - Prob. 9CYUCh. 14.1 - Prob. 10PPSCh. 14.1 - Prob. 11PPSCh. 14.1 - Prob. 12PPSCh. 14.1 - Prob. 13PPSCh. 14.1 - Prob. 14PPSCh. 14.1 - Prob. 15PPSCh. 14.1 - Prob. 16PPSCh. 14.1 - Prob. 17PPSCh. 14.1 - Prob. 18PPSCh. 14.1 - Prob. 19PPSCh. 14.1 - Prob. 20PPSCh. 14.1 - Prob. 21PPSCh. 14.1 - Prob. 22PPSCh. 14.1 - Prob. 23PPSCh. 14.1 - Prob. 24PPSCh. 14.1 - Prob. 25PPSCh. 14.1 - Prob. 26PPSCh. 14.1 - Prob. 27PPSCh. 14.1 - Prob. 28PPSCh. 14.1 - Prob. 29PPSCh. 14.1 - Prob. 30PPSCh. 14.1 - Prob. 31PPSCh. 14.1 - Prob. 32PPSCh. 14.1 - Prob. 33PPSCh. 14.1 - Prob. 34HPCh. 14.1 - Prob. 35HPCh. 14.1 - Prob. 36HPCh. 14.1 - Prob. 37HPCh. 14.2 - Prob. 1ACYPCh. 14.2 - Prob. 1BCYPCh. 14.2 - Prob. 2ACYPCh. 14.2 - Prob. 2BCYPCh. 14.2 - Prob. 3CYPCh. 14.2 - Prob. 1CYUCh. 14.2 - Prob. 2CYUCh. 14.2 - Prob. 3CYUCh. 14.2 - Prob. 4CYUCh. 14.2 - Prob. 5CYUCh. 14.2 - Prob. 6PPSCh. 14.2 - Prob. 7PPSCh. 14.2 - Prob. 8PPSCh. 14.2 - Prob. 9PPSCh. 14.2 - Prob. 10PPSCh. 14.2 - Prob. 11PPSCh. 14.2 - Prob. 12PPSCh. 14.2 - Prob. 13PPSCh. 14.2 - Prob. 14PPSCh. 14.2 - Prob. 15PPSCh. 14.2 - Prob. 16PPSCh. 14.2 - Prob. 17PPSCh. 14.2 - Prob. 18HPCh. 14.2 - Prob. 19HPCh. 14.2 - Prob. 20HPCh. 14.2 - Prob. 21HPCh. 14.3 - Prob. 1ACYPCh. 14.3 - Prob. 1BCYPCh. 14.3 - Prob. 2CYPCh. 14.3 - Prob. 3CYPCh. 14.3 - Prob. 1CYUCh. 14.3 - Prob. 2CYUCh. 14.3 - Prob. 3CYUCh. 14.3 - Prob. 4CYUCh. 14.3 - Prob. 5CYUCh. 14.3 - Prob. 6PPSCh. 14.3 - Prob. 7PPSCh. 14.3 - Prob. 8PPSCh. 14.3 - Prob. 9PPSCh. 14.3 - Prob. 10PPSCh. 14.3 - Prob. 11PPSCh. 14.3 - Prob. 12PPSCh. 14.3 - Prob. 13PPSCh. 14.3 - Prob. 14PPSCh. 14.3 - Prob. 15HPCh. 14.3 - Prob. 16HPCh. 14.3 - Prob. 17HPCh. 14.4 - Prob. 1CYUCh. 14.4 - Prob. 2CYUCh. 14.4 - Prob. 3CYUCh. 14.4 - Prob. 4CYUCh. 14.4 - Prob. 5CYUCh. 14.4 - Prob. 6CYUCh. 14.4 - Prob. 7CYUCh. 14.4 - Prob. 8CYUCh. 14.4 - Prob. 9CYUCh. 14.4 - Prob. 10CYUCh. 14.4 - Prob. 11CYUCh. 14.4 - Prob. 12PPSCh. 14.4 - Prob. 13PPSCh. 14.4 - Prob. 14PPSCh. 14.4 - Prob. 15PPSCh. 14.4 - Prob. 16PPSCh. 14.4 - Prob. 17PPSCh. 14.4 - Prob. 18PPSCh. 14.4 - Prob. 19PPSCh. 14.4 - Prob. 20PPSCh. 14.4 - Prob. 21PPSCh. 14.4 - Prob. 22PPSCh. 14.4 - Prob. 23PPSCh. 14.4 - Prob. 24PPSCh. 14.4 - Prob. 25PPSCh. 14.4 - Prob. 26PPSCh. 14.4 - Prob. 27PPSCh. 14.4 - Prob. 28PPSCh. 14.4 - Prob. 29PPSCh. 14.4 - Prob. 30HPCh. 14.4 - Prob. 31HPCh. 14.4 - Prob. 32HPCh. 14.4 - Prob. 33HPCh. 14.4 - Prob. 34HPCh. 14.5 - Prob. 1ACYPCh. 14.5 - Prob. 1BCYPCh. 14.5 - Prob. 2ACYPCh. 14.5 - Prob. 2BCYPCh. 14.5 - Prob. 3CYPCh. 14.5 - Prob. 1CYUCh. 14.5 - Prob. 2CYUCh. 14.5 - Prob. 3CYUCh. 14.5 - Prob. 4CYUCh. 14.5 - Prob. 5CYUCh. 14.5 - Prob. 6CYUCh. 14.5 - Prob. 7CYUCh. 14.5 - Prob. 8CYUCh. 14.5 - Prob. 9CYUCh. 14.5 - Prob. 10CYUCh. 14.5 - Prob. 11PPSCh. 14.5 - Prob. 12PPSCh. 14.5 - Prob. 13PPSCh. 14.5 - Prob. 14PPSCh. 14.5 - Prob. 15PPSCh. 14.5 - Prob. 16PPSCh. 14.5 - Prob. 17PPSCh. 14.5 - Prob. 18PPSCh. 14.5 - Prob. 19PPSCh. 14.5 - Prob. 20PPSCh. 14.5 - Prob. 21PPSCh. 14.5 - Prob. 22PPSCh. 14.5 - Prob. 23PPSCh. 14.5 - Prob. 24PPSCh. 14.5 - Prob. 25PPSCh. 14.5 - Prob. 26PPSCh. 14.5 - Prob. 27PPSCh. 14.5 - Prob. 28PPSCh. 14.5 - Prob. 29PPSCh. 14.5 - Prob. 30PPSCh. 14.5 - Prob. 31PPSCh. 14.5 - Prob. 32PPSCh. 14.5 - Prob. 33PPSCh. 14.5 - Prob. 34PPSCh. 14.5 - Prob. 35PPSCh. 14.5 - Prob. 36PPSCh. 14.5 - Prob. 37HPCh. 14.5 - Prob. 38HPCh. 14.5 - Prob. 39HPCh. 14.5 - Prob. 40HPCh. 14.6 - Prob. 1ACYPCh. 14.6 - Prob. 1BCYPCh. 14.6 - Prob. 2CYPCh. 14.6 - Prob. 1CYUCh. 14.6 - Prob. 2CYUCh. 14.6 - Prob. 3CYUCh. 14.6 - Prob. 4CYUCh. 14.6 - Prob. 5CYUCh. 14.6 - Prob. 6CYUCh. 14.6 - Prob. 7CYUCh. 14.6 - Prob. 8CYUCh. 14.6 - Prob. 9CYUCh. 14.6 - Prob. 10CYUCh. 14.6 - Prob. 11CYUCh. 14.6 - Prob. 12CYUCh. 14.6 - Prob. 13PPSCh. 14.6 - Prob. 14PPSCh. 14.6 - Prob. 15PPSCh. 14.6 - Prob. 16PPSCh. 14.6 - Prob. 17PPSCh. 14.6 - Prob. 18PPSCh. 14.6 - Prob. 19PPSCh. 14.6 - Prob. 20PPSCh. 14.6 - Prob. 21PPSCh. 14.6 - Prob. 22PPSCh. 14.6 - Prob. 23HPCh. 14.6 - Prob. 24HPCh. 14.6 - Prob. 25HPCh. 14.6 - Prob. 26HPCh. 14.6 - Prob. 27HPCh. 14.7 - Prob. 1ACYPCh. 14.7 - Prob. 1BCYPCh. 14.7 - Prob. 1CCYPCh. 14.7 - Prob. 1DCYPCh. 14.7 - Prob. 2ACYPCh. 14.7 - Prob. 2BCYPCh. 14.7 - Prob. 3CYPCh. 14.7 - Prob. 1CYUCh. 14.7 - Prob. 2CYUCh. 14.7 - Prob. 3CYUCh. 14.7 - Prob. 4CYUCh. 14.7 - Prob. 5CYUCh. 14.7 - Prob. 6CYUCh. 14.7 - Prob. 7CYUCh. 14.7 - Prob. 8PPSCh. 14.7 - Prob. 9PPSCh. 14.7 - Prob. 10PPSCh. 14.7 - Prob. 11PPSCh. 14.7 - Prob. 12PPSCh. 14.7 - Prob. 13PPSCh. 14.7 - Prob. 14PPSCh. 14.7 - Prob. 15PPSCh. 14.7 - Prob. 16HPCh. 14.7 - Prob. 17HPCh. 14.7 - Prob. 18HPCh. 14.7 - Prob. 19HPCh. 14.8 - Prob. 1ACYPCh. 14.8 - Prob. 1BCYPCh. 14.8 - Prob. 2ACYPCh. 14.8 - Prob. 2BCYPCh. 14.8 - Prob. 3CYPCh. 14.8 - Prob. 1CYUCh. 14.8 - Prob. 2CYUCh. 14.8 - Prob. 3CYUCh. 14.8 - Prob. 4CYUCh. 14.8 - Prob. 5CYUCh. 14.8 - Prob. 6CYUCh. 14.8 - Prob. 7CYUCh. 14.8 - Prob. 8PPSCh. 14.8 - Prob. 9PPSCh. 14.8 - Prob. 10PPSCh. 14.8 - Prob. 11PPSCh. 14.8 - Prob. 12PPSCh. 14.8 - Prob. 13PPSCh. 14.8 - Prob. 14PPSCh. 14.8 - Prob. 15PPSCh. 14.8 - Prob. 16PPSCh. 14.8 - Prob. 17PPSCh. 14.8 - Prob. 18PPSCh. 14.8 - Prob. 19PPSCh. 14.8 - Prob. 20HPCh. 14.8 - Prob. 21HPCh. 14.8 - Prob. 22HPCh. 14.8 - Prob. 23HP
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