The width of a rectangle is one third of the length. If the perimeter is 32 cm, what is the width?

1 Answer
Apr 6, 2018

The width is #4cm#

Explanation:

If you draw the diagram making the length of the rectangle #x# and the width #1/3x#, the perimeter would be all the sides added together

so #1/3x + x + 1/3x + x# which would simplify to #2/3x + 6/3x# (same as #2x#) then you would get #8/3x = 32#

multiply both sides by #3# to get #8x = 96#, dividing by 8 to get #x = 12#
the width is #1/3 x# and #1/3 x = 4# so the width is #4cm#.

You can check by 4 + 4 + 12 + 12 = 32. Does this help?