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

Algebra ->  Equations -> SOLUTION: The perimater of a rectanglar field is 500 yards and its area is 14400 square yards. What is its length and breadth.      Log On


   



Question 1014916: The perimater of a rectanglar field is 500 yards and its area is 14400 square yards. What is its length and breadth.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
The perimeter of a rectangular field is 500 yards and its area is 14400 square yards.
What is its length and breadth?
----------------------------------------------------------

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.