a 2 m wide path is made around a square pound of area 6400 find the area of the path
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Answer:
Let the side of lawn be 'a' m.
Area of lawn = a
2
Length of outer side =(a+4) m
Area of outer square=(a+4)
2
= a
2
+8a+16
Area of the path = Area of outer sqare-Area of low
⇒240=a
2
+8a+16−a
2
⇒240=8a+16
⇒8(a+2)=240
⇒a+2=
8
240
⇒a+2=30
⇒a=30−2
⇒a=28
side of lawn =30 m
Area of lawn = 28×28
= 784 m
2
Step-by-step explanation:
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