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The perimeter of a rectangular field is 500 yards and its area is 14400 square yards.
What is its length and breadth?
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Answer. L = 160 yards, B = 90 yards.
Solution
L + B = 250,
LB = 14400.
L = 250 - B;
(250-B)*B = 14400;
= ;
= ;
Factor left side:
= (B -90)*(B-160).
The roots are B = 90 and/or B = 160.
The length is 160 yards. The breadth is 90 yards.