Question

The length and the breadth of a rectangular park are in the ratio 5 : 2,a 2.5 m wide path running all around the outside of the park has an area of 305 sweet m.Find the dimension of the park.



.Answer is 40 by 16 CM.
.show me expllenation. ​

Answer 1

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

Answer 2

Answer:

breadth of the park is 16m

hope it helps