FFind the length of a rectangular Park whose area is equal to square metre and breadth is kilometre
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Step-by-step explanation:
Here, Length of Rectangular Park =l
Breadth of Rectangular Park =l−3
Altitude of Triangular Park =12
Breadth of Triangular Park =l−3
Now,
A
Rectangle
=l(l−3)
A
Triangle
=
2
1
×12(l−3)
A
Rectangle
−A
Triangle
=4
⇒l(l−3)−
2
1
×12(l−3)=4
⇒l
2
−9l+14=0
⇒(l−2)(l−7)=0⇒l=2,7
Since, breadth is l−3 , l
=2
∴l=7 m and breadth =7−3=4 m
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