SOLUTION: How do I find the height and width of a rectangle when i am given the diagonal, which is 27", and the ration of width to height, which is 4:3?

Algebra ->  Rectangles -> SOLUTION: How do I find the height and width of a rectangle when i am given the diagonal, which is 27", and the ration of width to height, which is 4:3?      Log On


   

Question 378483: How do I find the height and width of a rectangle when i am given the diagonal, which is 27", and the ration of width to height, which is 4:3?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
h%5E2+%2B+w%5E2+=+27%5E2, and w%2Fh+=+4%2F3.
From the 2nd equation, w = 4h/3. Hence h%5E2+%2B+16h%5E2%2F9+=+729.
25h%5E2%2F9+=+729, or h%5E2+=+6561%2F25, or h = 81/5 = 16.2 inches. The width is 21.6 inches.