SOLUTION: the perimeter of a rectangle is 30 meters. twice its length is the same as thrice its width. find its dimensions.

Algebra.Com
Question 1170866: the perimeter of a rectangle is 30 meters. twice its length is the same as thrice its width. find its dimensions.
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


My preferred approach to this problem is to convert the given information to say the ratio of length to width is 3:2. Then

let 3x = length
let 2x = width

The perimeter (twice length plus twice width) is 30m:





ANSWERS:
length 3x = 9m
width 2x = 6m
Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.

    2L + 2W = 30   meters    (1)

    2L = 3W                  (2)


In equation (1),  replace 2L by 3W, based on (2).  You will get

    3W + 2W = 30

    5W      = 30

     W      = 30/5 = 6.


ANSWER.  The dimensions are  6 meters (the width) and 9 meters (the length).

Solved.



RELATED QUESTIONS

The length of a rectangle is twice its width. The perimeter is 30. Find its... (answered by rfer,EdenWolf)
The perimeter of a rectangle is 12 meters. Its length is twice its width. Find the... (answered by checkley77)
A rectangle's length is twice its width. Its perimeter is 48 meters. Find the dimensions... (answered by addingup)
The length of a rectangle is twice its width. The perimeter is 30 meters. Find the length (answered by oberobic)
The perimeter of a rectangle is 260 meters. The length is 30 meters greater than its... (answered by bonster,nguy0279)
The length of a rectangle is 8meters morethan twice its width the perimeter is 112 meters (answered by jorel555)
The perimeter of a rectangle is 30 inches. If its length is three times its width, find... (answered by macston,aYummyNoodle)
The length of a rectangle is 5 less than twice its width. The perimeter is 26 meters.... (answered by ikleyn,addingup,advanced_Learner)
find the dimensions of a rectangle with a perimeter of 64 meters if its length is 4... (answered by macston)