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The formula for the perimeter, P, of a rectangle is P = 2(1 + w),
where l is the length and w is the width of the rectangle. If the
perimeter of a rectangle is 400 cm and its width is 45 cm, what
is its length?

Answer :

Answer:
You he length of the rectangle is:
155 cm

Answer:

[tex]l=155cm[/tex]

Step-by-step explanation:

Given the following question:

[tex]P=2(l+w)[/tex]
[tex]P=400cm[/tex]
[tex]w=45cm[/tex]

In order to find the length of the given rectangle complete the following steps.
[tex]400\div2=200[/tex]
[tex]200-45=155[/tex]
[tex]l=155cm[/tex]

Check your work:
[tex]P=2(l+w)[/tex]
[tex]l=155[/tex]
[tex]w=45[/tex]
[tex]P=2(155+45)[/tex]
[tex]155+45=200[/tex]
[tex]2\times200[/tex]
[tex]2\times200=400[/tex]
[tex]p=400cm[/tex]

Hope this helps.