SOLUTION: The width of a classroom is 1 meter more than 1/4 of its length. If the perimeter if the classroom is 24 what is the length in decimals?

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Question 934038: The width of a classroom is 1 meter more than 1/4 of its length. If the perimeter if the classroom is 24 what is the length in decimals?
Answer by Techpriest(29) About Me  (Show Source):
You can put this solution on YOUR website!
Let's assume the classroom the statement is referring to is a rectangle.
The perimeter of a rectangle can be determined by
+P+=+2L+%2B+2W+
Since we know that the perimeter is 24, we can apply this to our equation.
+24+=+2L+%2B+2W+
Since the width is 1 meter more than 1/4 of its length we can assume that
+W+=+%281%2F4%29L+%2B+1+
Because we know the width, we can plug-in the value of W into the first equation and can solve.
+24+=+2L+%2B+2%28%281%2F4%29L+%2B+1%29+
+24+=+2L+%2B+%281%2F2%29L+%2B+2+ Distribution Property
+24+=+%285%2F2%29L+%2B+2+ Combine Like Terms
+24+-2+=+%285%2F2%29L+%2B+2+-+2+ Subtraction Property of Equality
+22%282%2F5%29+=+%285%2F2%29L%282%2F5%29+ Multiplication Inverse or Reciprocal
+8.8+=+L+
The length is 8.8!