SOLUTION: The lenght and the width of a rectangle are in the ratio 3:2. If the lenght is increased by 20 and the width is decreased by 5, the ratio of the lenght to the width becomes 2:1. Fi

Algebra ->  Rectangles -> SOLUTION: The lenght and the width of a rectangle are in the ratio 3:2. If the lenght is increased by 20 and the width is decreased by 5, the ratio of the lenght to the width becomes 2:1. Fi      Log On


   

Question 349612: The lenght and the width of a rectangle are in the ratio 3:2. If the lenght is increased by 20 and the width is decreased by 5, the ratio of the lenght to the width becomes 2:1. Find the lenght and width of this rectangle.
Answer by Fombitz(32388) About Me  (Show Source):
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The lenght and the width of a rectangle are in the ratio 3:2. If the lenght is increased by 20 and the width is decreased by 5, the ratio of the lenght to the width becomes 2:1. Find the lenght and width of this rectangle.
L%2FW=3%2F2
1.2L=3W
.
.
.
%28L%2B20%29%2F%28W%2B5%29=2%2F1
L%2B20=2%28W%2B5%29
L%2B20=2W%2B10
L=2W-10
2L=4W-20
Substituting from eq. 1,
3W=4W-20
-W=-20
highlight%28W=20%29
Then from eq. 1,
2L=60
highlight%28L=30%29