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.Com
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) (Show Source): You can put this solution on YOUR website!
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
The difference between the two equations is
Then plugging x=11 in either of the original equations gives us y=9.
ANSWER: The field is 9x11 meters.
RELATED QUESTIONS
The perimeter of a rectangular field is surrounded by 74 meters of fencing. If the field... (answered by josgarithmetic)
The rectangular field in the following illustration is surrounded by 72 meters of... (answered by JulietG)
A 184 m^2 rectangular corn field is to be surrounded by a fence and divided into two... (answered by greenestamps)
A rectangular field is 40 m longer than it is wide. The field is subdivided into 3 parts... (answered by ikleyn)
The length of a rectangular field is 45 ft greater than its width. How much fencing is... (answered by stanbon)
A rectangular field is 6 meters longer than it is wide. It took 132 meters of fencing to... (answered by rfer)
A rectangular field is two times as long as it is wide. If the perimeter of the field is... (answered by nic0le116)
The perimeter of a square is 64 meters. If the field is surrounded by a running path of... (answered by macston)
A rectangular field with area 5000 meters squared is enclosed by 300 meters of fencing.... (answered by unlockmath)