length and breadth of rectangular park are in ratio 5:2. A 2.5m wide path running all around the outside of the park has an area of 305m². Find the dimesions of the park
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Let the length of the park=5a and its breadth =2a
∴ Area of the rectangular park=5a×2a=10a
2
Width of the park=2.5
Outer length PQ=5a+2.5+2.5=5a+5
Outer length QR=2a+2.5+2.5=2a+5
Area of PQRS=(5a+5)(2a+5)=10a
2
+35a+25
Area of the path=10a
2
+35a+25−10a
2
⇒305=35a+25
⇒35a=305−25=280
∴a=
35
280
=8
∴ Length of the park=5a=5×8=40m
Breadth of the park=2a=2×8=16m
hopefully it will work ☺️☺️
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