SOLUTION: ricos' garden lenght is 50m less than mike's garden.and ricos garden area is 100m. find the width of each garden.

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Question 981539: ricos' garden lenght is 50m less than mike's garden.and ricos garden area is 100m. find the width of each garden.
Answer by josgarithmetic(39799) About Me  (Show Source):
You can put this solution on YOUR website!
Rico:
L-50 and w;
Mike:
L and w;

Mikes garden area, wL=100.
Rico's garden area, %28L-50%29w.

L%2Aw-50w
wL-50
100-50
50------------area of Rico's garden.

An equation for area of Rico's garden: %28L-50%29w=50.
You can have this system of equations:
system%28%28L-50%29w=50%2CwL=100%29

SOLVE THE SYSTEM
Lw-50w=50
%28100%2Fw%29w-50w=50
100-50w=50
-50w=50-100
50w=100-50
50w=50
highlight%28highlight%28w=1%29%29-------width for both Rico and Mike
-
What is L?
L=100%2Fw
L=100%2F1
highlight%28L=100%29-------length for Mike's garden