SOLUTION: The perimater of a rectanglar field is 500 years and its area is 14400 square yards. What is its length and breadth.

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Question 1014914: The perimater of a rectanglar field is 500 years and its area is 14400 square yards. What is its length and breadth.
Answer by ikleyn(52781) About Me  (Show Source):
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The perimeter of a rectangular field is 500 highlight%28cross%28years%29%29 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;

250%2AB+-+B%5E2 = 14400;

B%5E2+-+250%2AB+-+14400 = 0;

Factor left side:

B%5E2+-+250%2AB+-+14400 = (B -90)*(B-160).

The roots are B = 90 and/or B = 160.

The length is 160 yards. The breadth is 90 yards.