The sum of the areas of two squares is100 cm 2 2. It is known that the side length of a square is less than twice the side length of two squares times 10cm. Find the side length of these two squares.

Solution:

Suppose that one side of a square is X and the other side is 2x- 10.

x？ +(2x- 10)？ = 100

x？ +4x？ -40x+ 100= 100

5x？ -40x=0

5x(x-8)=0

5x=0 or x-8=0.

So X 1=0, X2=8.

Because the side length is an integer, the root 0 is truncated.

Then x=8.

The other side length =2×8- 10=6.

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