SOLUTION: The length of a rectangle is 6 more than two times a number. The width is the number plus three and the area is 32. What is the width of the rectangle?

Question 929554: The length of a rectangle is 6 more than two times a number. The width is the number plus three and the area is 32. What is the width of the rectangle?

Found 2 solutions by sunny1992, MathTherapy:
Answer by sunny1992(35) (Show Source): You can put this solution on YOUR website!
let,
number = X
length = 2x+6
width = x+3
formula of rectangle's area = LxW
given
area= 32
equation
(2x+6)(X+6)=32
solve the equation you will get the answer.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

The length of a rectangle is 6 more than two times a number. The width is the number plus three and the area is 32. What is the width of the rectangle?

Let number be N
Then length = 2N + 6, and width = N + 3
Since area = 32, then we get: (2N + 6)(N + 3) = 32
------- FOILing left side

------- Factoring out GCF, 2

(N - 1)(N + 7) = 0
N = 1 OR N = - 7 (ignore)
Width: 1 + 3, or units
You can do the check!!
===================
Send comments, �thank-yous,� and inquiries to �D� at MathMadEzy@aol.com.
Further help is available, online or in-person, for a fee, obviously.
For FREE info and answers to questions about the ASVAB exam, the NYS 3 � 8 city/state wide exams,GENERAL
MATH and HOMEWORK QUESTIONS, or MATH QUESTIONS related to the Regents Integrated Algebra,
Regents Geometry, Regents Algebra 2/Trigonometry, SHSAT, COOP/HSPT/TACHS, PSAT, SAT, ACT, SSAT/ISEE,
GRE, CLEP, and the TASC/GED, you can visit: http://asvabstudyzone.freeforums.net/.
RELATED QUESTIONS
What is the area, in square feet, of a rectangle whose width is 6 feet and whose length... (answered by macston)
Two times the length plus two times the width equals the perimeter of a rectangle. The... (answered by ankor@dixie-net.com)
the�length�of�a�rectangle�Is�6�feet�more�than�three�times�the�width.�the�area�of�the�recta (answered by drj,Earlsdon)
three times a number is 4 more than the number plus 2. what is the... (answered by sheldonbbtrocks)
The area of a rectangle is 55 yd^2 , and the length of the rectangle is 4yd less than... (answered by josgarithmetic)
The length of a rectangle is 6 meters more than the width. The area is 55 square meters.... (answered by MathLover1)
The length of a certain rectangle is 15cm more than three times its width. If the... (answered by MathLover1)
the length of a rectangle is seven more than three times its width. It the perimeters is... (answered by tommyt3rd)
The length of a rectangle is two less than three times its width. If the area of the... (answered by josgarithmetic,greenestamps)