Current location - Plastic Surgery and Aesthetics Network - Plastic surgery and beauty - (2004? As the picture shows, Nanchang is a square pattern inlaid by four identical small rectangles and 1 small squares. It is known that the area of this pattern is 49, which is very small.
(2004? As the picture shows, Nanchang is a square pattern inlaid by four identical small rectangles and 1 small squares. It is known that the area of this pattern is 49, which is very small.
A, because the side length of a square pattern is 7, it can also be expressed by (x+y), so x+y=7 is correct;

B, because the overall square pattern area is 49,

From the combination, it can be (x+y)2 or (4xy+4).

So there are (x+y)2=49 and 4xy+4=49.

That is, xy=454,

So (x-y)2=(x+y)2-4xy=49-45=4,

That is, x-y = 2;;

C, x2+y2=(x+y)2-2xy=49-2×454=532, so x2+y2=25 is wrong;

D, you can see from B that 4xy+4 = 49.

So choose C.