SOLUTION: The width of a rectangle is 5 yards less than the length. If the width were decreased by 2 yards the area would be decreased by 50 square yard. Find the length and width of the ori

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Question 1067133: The width of a rectangle is 5 yards less than the length. If the width were decreased by 2 yards the area would be decreased by 50 square yard. Find the length and width of the original rectangle.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The width of a rectangle is 5 yards less than the length.
----
w=L-5

A=wL
A=%28L-5%29L


If the width were decreased by 2 yards the area would be decreased by 50 square yard.
----
Old area L%28L-5%29

New area L%28L-5-2%29
L%28L-7%29


--- --- --- --- --- ---
Find the length and width of the original rectangle.
----

L%28L-5%29-L%28L-7%29=50

L%5E2-5L-%28L%5E2-7L%29=50

L%5E2-5L-L%5E2%2B7L=50
2L=50
highlight%28L=25%29
Return to given description for w.
w=L-5

w=25-5

highlight%28w=20%29