A rectangular pond has a length of 4 m more than twice its width. What
is the length and width of the rectangular pond if its area is 962
?
Length: _____________
Width: ____________
Answers
Answered by
3
Step-by-step explanation:
Let x = Distance between the boundaries of the lawn and the pond.
Length of pond =(50−2x) m and breadth of pond =(40−2x)m
Area of pond = Area of lawn − Area of grass around pond.
∴(40−2x)(50−2x)=(50)(40)−1184
2000−1184=2000−180x+4x
2
⇒x
2
−45x+296=0
⇒x
2
−8x−37x+296=0
⇒x(x−8)−37(x−8)=0
⇒(x−8)(x−37)=0
x=37,x=8
If x=8,l=50−2x=34m
b=40−2x=24m
Taking x=8 as more realistic value, length of pond will be 34m and witdh will be 24m.
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0
Answer:
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