Q:

Each of the walls of a room with square dimensions has been built with two pieces of sheetrock, a smaller one and a larger one. the length of all the smaller ones is the same and is stored in the variable small. similarly, the length of all the larger ones is the same and is stored in the variable large. write a single expression whose value is the total area of this room. do not use the pow function. submit

Accepted Solution

A:
To solve this problem you must apply the proccedure shown below:

 1. You have the following information given in the problem above:

 -  The room has square dimensions and it has been built with two pieces of sheetrock, a smaller one and a larger one.

 2. Therefore, let's call

 x: the smaller one.
 y: the larger one.

 3. Then, you have that the lenght of the wall is the sum of the smaller one and the larger one:

 x+y

 4. So, the area of the room is:

 (x+y)(x+y)
 (x+y)²

 Therefore, the answer is: (x+y)²