SOLUTION: A rectangular room is 6 meters longer than it is wide, and its perimeter is 24 meters. Find the dimension of the room.

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Question 1045783: A rectangular room is 6 meters longer than it is wide, and its perimeter is
24 meters. Find the dimension of the room.
Found 3 solutions by ikleyn, josgarithmetic, josmiceli:
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
A rectangular room is 6 meters longer than it is wide, and its perimeter is
24 meters. Find the dimension of the room.
~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Let W be the width of the room, in meters.
Then the length is W + 6 meters.

For the perimeter, we have this equation

(W+6) + W + (W+6) + W = 24,  or

4W + 12 = 24,  or  4W = 24 - 12 = 12.

Then W =  = 3 m

So we found the width W = 3 meters.

Then the length is W+6 = 3+6 = 9 m.

Answer.  The length is 9 m.  The width is 3 m.

For many other similar solved problems see the lessons
    - Solved problems on the perimeter and side lengths of a triangle
    - Solved problems on the perimeter and side lengths of a right-angled triangle
    - Solved problems on the perimeter and the side lengths of a parallelogram
    - Solved problems on the perimeter and side lengths of a rectangle
in this site.

Read these lesson and be trained in solving these problems.


Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
x for length
y for width
p for perimeter, given


-








You do the rest.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = the width of the room in meters
= the length of the room in meters
-------------------
The formula for perimeter is:

and, for this problem,
and





and


-------------------
the dimensions of the room are 3 x 9
------------
check:




OK
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