SOLUTION: The perimeter of a rectangle is 84. The length is 14 more than the width. Find the width and length. Width: Length: The perimeter of a rectangle is 66. The lengt

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Question 1205698: The perimeter of a rectangle is 84. The length is 14 more than the width. Find the width and length.
Width:
Length:

The perimeter of a rectangle is 66. The length is 3 less than
5 times the width. Find the width and length.
Width:
Length:

Found 3 solutions by josgarithmetic, math_tutor2020, ikleyn:
Answer by josgarithmetic(39614)   (Show Source):
You can put this solution on YOUR website!
Two of the same example but just different assigned values

p, the given perimeter
w, unknown width
w+k, length being some k more than the width

accounts for the given perimeter

-----------substitute the given values and find width and length.

The second example is only slightly different.
w, the unknown width
5w-3, the length
-

You can do the rest of this.

Answer by math_tutor2020(3816)   (Show Source):
You can put this solution on YOUR website!

I'll do the first problem to get you started.

w = width
w+14 = length

2*(width + length) = perimeter of the rectangle
2*(w + w+14) = 84
2*(2w+14) = 84
4w+28 = 84
4w = 84-28
4w = 56
w = 56/4
w = 14 is the width
w+14 = 14+14 = 28 is the length

Check
perimeter = 2*(width + length)
perimeter = 2*(14 + 28)
perimeter = 2*(42)
perimeter = 84
The answers are confirmed

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Answer:
width = 14
length = 28

Answer by ikleyn(52761)   (Show Source):
You can put this solution on YOUR website!
.

Problems like these two come to the forum practically every day.

Therefore, at this site, long time ago I prepared a lesson
    - Solved problems on the perimeter and side lengths of a rectangle

It contains many (several) similar solved problems for you
with all detailed explanations to learn from.

Look into this lesson and read it to prepare yourself for solving other similar word problems.

After reading, you will be able to solve similar problems on your own
in semi-automatic mode, without asking for help from outside.

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In the future, pack more than one problem per post.