SOLUTION: In a rectangle, one side is 1/3 of the length of the other side and the length of a diagonal is 9 feet, how long are the sides of the rectangle?

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Question 1003494: In a rectangle, one side is 1/3 of the length of the other side and the length of a diagonal is 9 feet, how long are the sides of the rectangle?

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

one side is of the length of the other side:
if longer side is and shorter side is , then we have:

.........eq.1
and if the length of a diagonal is , we need to use Pythagorean theorem because two sides of rectangle and its diagonal form right angle triangle
so, we have
substitute from eq.1, and
........solve for









then

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