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The width of a rectangle is 2 less than its length. If the perimeter of the rectangle is no more than30 centimeters, find the range of possible lengths and widths of the rectangle. Use the formula, P=2L+2W, for the perimeter of the rectangle. In the form of a paragraph, explain in complete sentences the steps necessary to set up the equation. Include the final inequality in your explanation. Complete your work in the space provided or upload a file that can display math symbols if your work requires it.

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grujan50

We will take length as variable l and width as variable w.

Formula for perimeter of the rectangle is P=2(l+w)

and l=w+2 and Pā‰¤30

First we replace l in formula for perimeter and get this inequality

2(w+2+w)ā‰¤30, than we divide this inequlity with 2 and get 2w+2ā‰¤15 =>

2wā‰¤13 => wā‰¤6.5

When we replace w in formula for l we get

l-2 ā‰¤ 6.5 => lā‰¤6.5+2 => lā‰¤8.5

If you need some more explenation I am here

good luck!!!

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