38. 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. (1 point)
rectangle A: 5 in x 12 in, rectangle B: 2.5 in x 6 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
rectangle A: 6.5 in x 14 in, rectangle B: 3.5 in x 8 in

Question

38.   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.  (1 point)
		rectangle A: 5 in x 12 in, rectangle B: 2.5 in x 6 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
		rectangle A: 6.5 in x 14 in, rectangle B: 3.5 in x 8 in

anonymous · Answer

@ParthKohli Do you know anyone that could help me with this?

parthkohli · Answer

I can help you.

anonymous · Answer

Awesome! :)

parthkohli · Answer

In both the rectangles, a right triangle is formed thru the diagonal. It is the hypotenuse aka the longest side.

parthkohli · 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. Get it?

parthkohli · Answer

5,12 ---> first rectangle

anonymous · Answer

Yes! Thanks so much. That's really helpful!

parthkohli · Answer

That leaves only one choice then

parthkohli · Answer

Choice A.