A rectangular room is 4 times as long as it is wide, and its perimeter is 80 meters. How do you find the dimension of the room?

1 Answer
Sep 3, 2015

Answer:

Use a variable #w# to represent the width of the room.

From the given information find that #10w = 80#, hence #w=8#.

So the room is #8# meters by #32# meters.

Explanation:

Let #w# represent the width of the room in meters.

Then the length of the room is #4w#.

So the perimeter of the room is #w+4w+w+4w = 10w#.

Given that the perimeter is #80# meters, that translates as:

#10w = 80#

Divide both sides by #10# to get #w = 8#.

Hence the width of the room is #8# meters and the length is #4w = 32# meters.