Amitabh owns a rectangular plot of land.Its breadth is 7m less than its length.Perimeter of the plot is 1034m .Set up and equation for the given problem.
Answers
Answer:
Answer in explanation
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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Answer:
Let the Length of the Park be X m
Then Breadth of the park = ( X - 7 ) M
Perimeter of Rectangle = 2 × ( L + B )
Perimeter Given = 1034 m
So we have ,
2 × ( X + X - 7 ) = 1034
2 × ( 2X - 7 ) = 1034
(2X - 7 ) = 5 17
2X = 517 + 7
2X = 524
X = 262
〰Length of plot is 262 m
〰Breadth of plot is 255 m
Step-by-step explanation:
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