What are the areas of the other seven squares

The large rectangle below is divided into nine squares labeled A through I. The area of square C is 64 square units and the area of square D is 81 square units.

Click on the link below for picture!

http://www.pleacher.com/mp/mgifs/gifs10/square.gif

Since all of the squares are... well squares, we can assume that all the sides are the squares are of equal length. Since square D is 81 square units, we know that each side of square D is 9 units. Similarly, square C is 64 square units so each side of square C is 8 units.

We now move on to square I. The length of the bottom of square I is 9-8=1 unit.

Regarding square H, the length of the right side is 8-1=7 units.

Looking at square E, the length of the right side is 9+1=10 units.

Looking at square G now, the length of the bottom side is 10-(7-1)=4 units.

Looking at square F, the length of the right side is 10+4=14 units.

Looking at square A, the length of the bottom is 14+4=18 units.

This leaves only square B, where the bottom length is 7+8=15 units.

Thus the areas of all the squares are:
Square A = 18x18 = 324 square units
Square B = 15x15 = 225 square units
Square C = 8x8 = 64 square units
Square D = 9x9 = 81 square units
Square E = 10x10 = 100 square units
Square F = 14x14 = 196 square units
Square G= 4x4 = 16 square units
Square H = 7x7 = 49 square units
Square I = 1x1 = 1 square units

Hope this helps

A = 324
B = 225
C = 64
D = 81
E = 100
F = 196
G = 16
H = 49
I = 1