Rectangles A and B are similar rectangles. The length of the diagonal of Rectangle A is 13 inches and the length of the diagonal of Rectangle B is 6.5 inches.

What could be the length and width of both Rectangle A and Rectangle B? Show your work.

Rectangle A: 5 in x 12 in, Rectangle B: 2.5 in x 6 in

Rectangle A: 6.5 in x 14 in, Rectangle B: 3.5 in x 8 in
Rectangle A: 4 in x 10 in, Rectangle B: 3 in x 7 in

Rectangle A: 7 in x 11 in, Rectangle B: 2 in x 5 in

Question

Rectangles A and B are similar rectangles. The length of the diagonal of Rectangle A is 13 inches and the length of the diagonal of Rectangle B is 6.5 inches. 
  
What could be the length and width of both Rectangle A and Rectangle B? Show your work.

 Rectangle A: 5 in x 12 in, Rectangle B: 2.5 in x 6 in

 Rectangle A: 6.5 in x 14 in, Rectangle B: 3.5 in x 8 in
 Rectangle A: 4 in x 10 in, Rectangle B: 3 in x 7 in

 Rectangle A: 7 in x 11 in, Rectangle B: 2 in x 5 in

anonymous · Answer

In the rectangle where 13 in is the diagonal, 13 in is the hypotenuse actually. 13 comes in the pythagorean triplet 5,12,13 where 5,12 are the legs. The legs are the length and width here. Its A!