SOLUTION: one side of a rectangle is three feet more than half as long as the other side and the perimeter is 21 feet what are the dimensions of the rectangle

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Geometry -> SOLUTION: one side of a rectangle is three feet more than half as long as the other side and the perimeter is 21 feet what are the dimensions of the rectangle      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


Question 359491: one side of a rectangle is three feet more than half as long as the other side and the perimeter is 21 feet what are the dimensions of the rectangle
Answer by robertb(4012) About Me  (Show Source):
You can put this solution on YOUR website!
one side of a rectangle is three feet more than half as long as the other side and the perimeter is 21 feet what are the dimensions of the rectangle.
Let x, y be the sides of the rectangle.
y+=+%281%2F2%29x%2B3, and 2x%2B2y+=+21.
By substitution,
2x+%2B+2%2A%28%281%2F2%29x%2B3%29+=+21,
2x%2Bx%2B6+=+21,
3x+=+15,
x+=+5.