Questions on Algebra: Systems of Linear Equations answered by real tutors!

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Question 151320: Hello may someone please elp me with this question im very confused!
The length of a rectangle is 3 in. more than the width. The perimeter of the rectangle is 24 in.
I THINK THAT I AHVE FOUND THE VARIABLES LENGTH=3iN. WIDTH=24iN.(AM I RIGHT???)


What is the expression for the length in terms of the width?
What is the length of the rectangle? : Hello may someone please elp me with this question im very confused!
The length of a rectangle is 3 in. more than the width. The perimeter of the rectangle is 24 in.
I THINK THAT I AHVE FOUND THE VARIABLES LENGTH=3iN. WIDTH=24iN.(AM I RIGHT???)


What is the expression for the length in terms of the width?
What is the length of the rectangle?
Answer by stanbon(18984) About Me  (Show Source):
You can put this solution on YOUR website!
The length of a rectangle is 3 in. more than the width.
L = W + 3
-------------------
The perimeter of the rectangle is 24 in.
P = 2L + 2W
24 = 2(W+3) + 2W
24 = 2W+6 + 2W
4w + 6 =24
4W = 18
W = 9/2 = 4 1/2
L = 4 1/2 + 3 = 7 1/2
--------------------------

Cheers,
Stan H.
What is the expression for the length in terms of the width?
What is the length of the rectangle?
Question 151320: Hello may someone please elp me with this question im very confused!
The length of a rectangle is 3 in. more than the width. The perimeter of the rectangle is 24 in.
I THINK THAT I AHVE FOUND THE VARIABLES LENGTH=3iN. WIDTH=24iN.(AM I RIGHT???)


What is the expression for the length in terms of the width?
What is the length of the rectangle? : Hello may someone please elp me with this question im very confused!
The length of a rectangle is 3 in. more than the width. The perimeter of the rectangle is 24 in.
I THINK THAT I AHVE FOUND THE VARIABLES LENGTH=3iN. WIDTH=24iN.(AM I RIGHT???)


What is the expression for the length in terms of the width?
What is the length of the rectangle?
Answer by jim_thompson5910(9368) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=width and y=length

Since the "length of a rectangle is 3 in. more than the width", this means that y=x+3. Also, because the "perimeter of the rectangle is 24 in", this tells us that P=24


P=2x+2y Start with the formula for the perimeter of a rectangle


24=2x+2(x+3) Plug in P=24 and y=x+3


24=2x+2x+6 Distribute


24-6=2x+2x Subtract 6 from both sides.


18=4x Combine like terms.


18/4=x Divide both sides by 4.


x=9/2 Reduce.


So the first part of the answer is x=9/2 or x=4.5. This means that the width is 4.5 inches.


y=x+3 Go back to the first equation


y=9/2+3 Plug in x=9/2


y=15/2 Combine the fractions.



So the second part of the answer is y=15/2 or y=7.5. This means that the length is 7.5 inches.


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Answer:

So the width is 4.5 inches and the length is 7.5 inches