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.
Answer

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

Answer 1

by simply finding out the diagonals using pythagoras theorem ,you could eliminate the other options! or else ,as they are similar rectangles ,the ratio of the sides is equal to the ratio of the diagonals which is 2:1.only option a satisfies this condition!!

Answer 2

ok thank-you!!! =)

Answer 3

ur welcum!!