Problema Solution

The formula for the perimeter of a rectangle is P= 2l + 2w , where l is the length and w is the width. A rectangle has a perimeter of 24 inches. Find its dimensions if its length is 3 inches greater than its width.

Answer provided by our tutors

Let width = x because it is unknown.

Let length = x + 3" because it is 3" greater.


P = 2L + 2W

24" = 2(x+3") + 2(x)


 

24" = 2x + 6" + 2x

24" - 6" = 4x

18" = 4x

18"/4 = x

4.5" = x


To check the answer go back and substitute 4.5" for x in the equation and see if you get a perimeter of 24".

 

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