SOLUTION: 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 T

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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?
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) (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
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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
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Cheers,
Stan H.
What is the expression for the length in terms of the width?
What is the length of the rectangle?

Answer by jim_thompson5910(35256) (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 . Also, because the "perimeter of the rectangle is 24 in", this tells us that

Start with the formula for the perimeter of a rectangle

Plug in and

Distribute

Subtract 6 from both sides.

Combine like terms.

Divide both sides by 4.

Reduce.

So the first part of the answer is or . This means that the width is 4.5 inches.

Go back to the first equation

Plug in

Combine the fractions.

So the second part of the answer is or . 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