Goldfish

If you meant that plot 1 + plot 2 is equal to plot 3 + plot 4, then this is what I got.

Since plots 1-4 are all equal, I made them one variable, x. Since plots 5-7 are all equal I also made them a variable, y. I then made some base formulas based off of the info.

1: 4x+3y=25740

2: 2x=3y

I then solved for x on the second equation and got x=(3/2)y. Using this new equation, I plugged it into the x value for the first formula. Now you only have one variable, so you can solve for y. After I did this, I got y=2860. Then I plugged y into the first formula and solved for x this time. I got x=4290. I checked my answers and this should be right if the information I used was correct. 

So therefore...

Plot 1 = 4290

Plot 2 = 4290

Plot 3 = 4290

Plot 4 = 4290

Plot 5 = 2860

Plot 6 = 2860

Plot 7 = 2860

This isn't propotional, but heres a visual for the x's and the y's

Bedroom one would have an area of 121 ft sq, two would have an area of 120 ft sq, while three would have an area of 169 ft sq. Obviously a 132 sq ft rug wouldn't fit in either a 121 or 120 sq foot room. The rug will fit in the third one, though.