Question

The length and breadth of a rectangular park are in the ratio 5:2. A wide path of 2.5m that runs all

around the park has an area 445sq.m. Find the dimensions of the park.​

Answer 1

Answer:

Length of park is 60 m and breadth of park is 24 m.

Step-by-step explanation:

1. Area of path = 445 .

2. Ratio of length to breadth =

 Means

 length of park =

breadth of park =

So area of park =      ...1)

3. Length of park including path on both side(L) = =

  Breadth of park including path on both side(B) = =

 So Area of park including path       ...2)

4. So

 Area of park including path - area of park =Area of path

  = 445    ...3)

5. From equation 1,2 and equation 3)

   

   

  So on solving

   =12

6. Length of park = =5×12=60 m

   Breadth of park ==2×12=24 m

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