SOLUTION: the length of a rectangular painting is 3 inches. longer than it's width. If the diagonal is 15 inches long, what are the dimensions of the painting?

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: the length of a rectangular painting is 3 inches. longer than it's width. If the diagonal is 15 inches long, what are the dimensions of the painting?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1020266: the length of a rectangular painting is 3 inches. longer than it's width. If the diagonal is 15 inches long, what are the dimensions of the painting?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
If we call the width, x, then the length is x + 3.
We can apply the Pythagorean Theorem and write
x^2 + (x+3)^2 = 15^2
If you work that out, you'll find that the width
x = 9 inches
and
length x+3 = 12 inches
It's a 9 x 12.