SOLUTION: The diagonal of a rectangle platform is square root of 20 cm. If both dimensions are increased by 2 cm, then the resulting perimeter would be 5/3 of the original perimeter. Find th

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Question 140787: The diagonal of a rectangle platform is square root of 20 cm. If both dimensions are increased by 2 cm, then the resulting perimeter would be 5/3 of the original perimeter. Find the dimensions of the rectangle.
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Let call the length and width of the rectangle L and W.
1.
The original perimeter is 2L+2W.
2.
Simplifying 2 (multiply both sides by 3 to get rid of denominators),





Now plug this value into 1.
1.






The two solutions are W=4 and W=2.
For W=4, L=6-W=2.
For W=2, L=6-W=4.
The dimensions of the rectangle are 2 cm by 4 cm.

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