What is #x# if the perimeter of a rectangle with sides of #x# and #2x + 6# is #27# in?

1 Answer
Dec 8, 2015

#x=5/2#

Explanation:

The perimeter of a rectangle is the sum of all its sides.

Each rectangle has #2# pairs congruent sides.

Thus, the sides of the rectangle are:

#x#
#x#
#2x+6#
#2x+6#

Since these are the sides, their sum will be equal to the perimeter, #27#.

#x+x+2x+6+2x+6=27#

#6x+12=27#

#6x=15#

#x=15/6#

#x=5/2#