SOLUTION: The perimeter of a rectangular field is surrounded by 74 meters of fencing. If the field is partitioned into two parts as shown, a total of 91 meters of fencing is required. Find t

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The perimeter of a rectangular field is surrounded by 74 meters of fencing. If the field is partitioned into two parts as shown, a total of 91 meters of fencing is required. Find t      Log On


   

Question 845912: The perimeter of a rectangular field is surrounded by 74 meters of fencing. If the field is partitioned into two parts as shown, a total of 91 meters of fencing is required. Find the dimensions of the field.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
How shown? Tutor will take a guess. Assumption is that partition is parallel to one of the rectangle's sides.

WHOLE rectangle: x for width, y for length.
2x%2B2y%2By=91 and 2x%2B2y=74.

Simplifying those, the system to solve is:
2x+3y=91 and x+y=37;
or same system as
2x+3y=91 and 2x+2y=74 because the simplification on the "74" equation was not needed if Elimination Method is chosen for this system.
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Subtracting perimeter equation from total fencing equation, highlight%28y=17%29 and highlight%28x=20%29.