SOLUTION: A rectangle has a diagonal that measures 10 centimeters and lengh that is 2 centimeters longer than the width. What is the width of the rectangle in centimeters?

Question 192307: A rectangle has a diagonal that measures 10 centimeters and lengh that is 2 centimeters longer than the width. What is the width of the rectangle in centimeters?
Answer by orca(409) (Show Source): You can put this solution on YOUR website!
Note that the width, length and the diagonal form a right triangle, the diagonal is the hypotenuse.
Let the width be x, then the length is x + 2.
Now use the pythagorean theorem to set up an equation:

Solving the equation, we have

So
x=6, or x=-8(reject this negative root)
So the width is 6cm, and the length is x+2=8 cm.

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