SOLUTION: Can you please help me with this question? I am so lost. The length of a rectangle is 5 mm longer than its width. Its perimeter is more than 30 mm. Let w equal the width of th

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Question 835634: Can you please help me with this question? I am so lost.
The length of a rectangle is 5 mm longer than its width. Its perimeter is more than 30 mm. Let w equal the width of the rectangle.
a. Write an expression for the length in terms of the width.
b. Use expressions for the length and width to write an inequality for the perimeter, on the basis of the given information.
c. Solve the inequality, clearly indicating the width of the rectangle.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +L+ = the length of the rectangle
Let +W+ = the width of the rectangle
Let +P+ = the perimeter of the rectangle
-------------------------------------
Its perimeter is more than 30 mm.
(1) +P+%3E+30+
=============
(a)
The length of a rectangle is 5 mm longer than its width.
(2) +L+=+W+%2B+5+
-----------------
(b)
The formula for the perimeter is:
(3) +P+=+2L+%2B+2W+
Also I have:
(1) +P+%3E+30+
By substituting (1) into (3):
(3) +2L+%2B+2W+%3E+30+
And substituting (2) into (3):
(3) +2%2A%28+W%2B5+%29+%2B+2W+%3E30+
------------------------------
(c)
(3) +2W+%2B+10+%2B+2W+%3E+30+
(3) +4W+%2B+10+%3E+30+
(3) +4W+%3E+20+
(3) +W+%3E+5+