SOLUTION: An engineer was told that a survey had been made on a certain rectangular field but the dimension had been lost .An assistant remembered that if the field had been 100 ft longer an

Question 1058072: An engineer was told that a survey had been made on a certain rectangular field but the dimension had been lost .An assistant remembered that if the field had been 100 ft longer and 25 ft narrower, the area would have been increased by 2500 sq. ft, and that if it had been 100 ft shorter 50 ft wider, the area would have been decreased 5000 sq.ft. What was the area of the field?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the length in feet
Let = the width in feet
Ler = the area in ft2
-----------------------------
(1)
(2)
(3)
--------------------------------------
(1)
(1)
(1)
(1)
-----------------------------
(2)
(2)
(2)
(2)
(2)
------------------------------
Plug (2) into (1)
(1)
(1)
(1)
(1)
and
(2)
(2)
------------------

The area is 20,000 ft2
----------------------
check:
(1)
(1)
(1)
(1)
OK
You can check (2)

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