You want to get new carpet for a square room that has an area of 150 square feet. you can only order carpet using dimensions to the nearest whole foot. what would be the dimensions of the carpet so that the entire room is covered?

This is the concept of algebra, given that the room is 150 sq. feet, the dimensions of the room can be found as follows;
Suppose the room is a perfect square, the length=width= x ft
therefore the are will be:
area=length*width
=x*x=x^2 sq. ft
hence;
x^2=150
getting the square root of both sides we get:
sqrt x^2=sqrt150
x=sqrt150
x=12.248 ft
x=12 ft (to the nearest feet)