Question 1014914
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The perimeter of a rectangular field is 500 {{{highlight(cross(years))}}} yards and its area is 14400 square yards. What is its length and breadth?
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<U>Answer</U>. L = 160 yards, B = 90 yards.


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<U>Solution</U>


L + B = 250,
LB = 14400.

L = 250 - B;

(250-B)*B = 14400;

{{{250*B - B^2}}} = {{{14400}}};

{{{B^2 - 250*B - 14400}}} = {{{0}}};

Factor left side:

{{{B^2 - 250*B - 14400}}} = (B -90)*(B-160).

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

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