Arvin has red, yellow, green, and blue tiles. The red and yellow tiles are squares, and the green and blue tiles are rectangles. All tiles of the same colour have the same dimensions. Arvin places his tiles next to each other in order to create the following rectangle.

A larger rectangle is made up of three square red tiles, two square yellow tiles, three rectangular green rectangles, and one rectangular blue tile.

The width of one yellow tile is the same as the width of two red tiles placed together.

The width of a yellow tile is the same as the length of a green tile.

The red tiles, the green tiles, and the blue tile all have the same width.

The length of the blue tile is the same as the width of one red tile and one yellow tile placed together.

If Arvin wanted to use only red squares to make a rectangle with the same dimensions, how many red squares would he need?