the area of a small rectangular plot is 84 m square.If the difference between its length and breadth is 5 m;find its perimeter.
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Let the breadth be Xm
and the length be (X+5)m
X*(X+5)=84
X^2+5X-84=0
X^2+12X-7X-84=0
X(X+12)-7(X+12)=0
(X+12)(X-7)=0
X=-12 or X=7
Since breadth can not be negative
Therefore breadth=X=7
and length=X+5=7+5=12
Perimeter=2(L+B)
=2(7+5)
=24 Ans.
and the length be (X+5)m
X*(X+5)=84
X^2+5X-84=0
X^2+12X-7X-84=0
X(X+12)-7(X+12)=0
(X+12)(X-7)=0
X=-12 or X=7
Since breadth can not be negative
Therefore breadth=X=7
and length=X+5=7+5=12
Perimeter=2(L+B)
=2(7+5)
=24 Ans.
Amlan212005:
thank you for the answer
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