SOLUTION: what are the dimensions of a rectangular room that has a perimeter of 48 m and a area of 128 m2

Question 860476: what are the dimensions of a rectangular room that has a perimeter of 48 m and a area of 128 m2
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
If the room measures meters by meters,
its perimeter (in meters) would be
,
and its surface area (in square meters) would be
.

<---> <--->
Since and ,
it is obvious that the room could be meters long by meters wide.

The teacher may expect that you solve for ,
<---> ,
and then substitute into ,
to get a quadratic equation:
--> -->
You can solve to get the two solutions
--> ,
and
--> ,
which tell you that the dimensions of that rectangular room
are meters (length) and meters (width).

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