Question

Suppose you cut a square into two rectangles as shown below. Write an expression for the area of the square

Answer 1

Answer:

2xy

The expression for the area of a square with side $x$ is $x*x=x^{2}$

If you cut the square in half, you will have two rectangles with side $x$ and height $y$ so each area will be $x*y=area$

The total is the adding of the individual. You have two areas the expression will be $Total Area= (x*y) + (x*y)= 2xy$

Answer 2

The area of each rect. would be xy, so the total area of the square would be 2xy, by definition of area of a square