SOLUTION: The length of a rectangular floor is 1m less than twice its width. if a diagnol of the rectangle is 17m, find the length and width of the floor.

Question 236398: The length of a rectangular floor is 1m less than twice its width. if a diagnol of the rectangle is 17m, find the length and width of the floor.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let L = the length of the rectangle and W = its width.
"The length (L) of a rectangle is 1m less than twice its width (W)."
From the Pythagorean theorem,...
"...a diagonal of the rectangle is 17m,..."
Simplify.
Substitute ansd solve for W.

Simplify and subtract 289 from both sides.
Solve using the quadratic formula: where: a = 5, b = -4 and c = -288.

or Discard the negative solution.

The length is 15 meters and the width is 8 meters.

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