SOLUTION: The perimeter of a rectangular field is surrounded by 80 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 80 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 1164463: The perimeter of a rectangular field is surrounded by 80 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 greenestamps(13200) About Me  (Show Source):
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No figure is shown; but the statement of the problem is sufficient to solve the problem.

The perimeter of the field is twice one dimension plus twice the other. When the field is divided into two parts, presumably the total amount of fencing is three times one dimension plus two times the other. So

2x%2B2y=80
3x%2B2y=91

The difference between the two equations is

x=11

Then plugging x=11 in either of the original equations gives us y=9.

ANSWER: The field is 9x11 meters.