SOLUTION: The perimeter of a rectangle is 3 more than three times its width. Find the length and width of the rectangle.
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Question 95759: The perimeter of a rectangle is 3 more than three times its width. Find the length and width of the rectangle.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The perimeter of a rectangle is 3 more than three times its width. Find the length and width of the rectangle.
:
The relationship between the width and the length is not given, therefore,
there are an unlimited number solutions to this problem:
:
x = width, let y = the length
:
It says,"perimeter of a rectangle is 3 more than three times its width." therefore
P = 3x + 3
:
2L + 2W = P
Therefore:
2y + 2x = 3x + 3
2y = 3x + 3 - 2x
2y = x + 3
y =
:
Substituting any value for x (width), gives a value for y(length) that will
satisfy this problem;
:
For example try x = 5:
y =
y = 4
:
2(4) + 2(5) = 18
:
Given that 3x + 3 = P
3(5) + 3 = 18
:
A few other length/width values:
x | y
-------
1 | 2
2 | 2.5
3 | 3
4 | 3.5
:
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