SOLUTION: The length of a rectangular floor is 1 meter less than three times its width. If a diagonal of the rectangular is 37 meters , find the length and width of the floor

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Question 1077056: The length of a rectangular floor is 1 meter less than three times its width. If a diagonal of the rectangular is 37 meters , find the length and width of the floor
Answer by josgarithmetic(39630) About Me  (Show Source):
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Dimensions 3w-1 and w.

Diagonal cuts the rectangle into two right triangles.

%283w-1%29%5E2%2Bw%5E2=37%5E2
Solve for w.
Evaluate 3w-1.