Question

the length and breadth of a rectangular field are in the ratio 7:4. a path 4 m wide running all around out side it has an area 416m^2 then the perimetre of the field is

Answer 1

Answer:

of path

=(l+b+2x)2x

=(l+b+2x)2x

∴

∴

where x = thickness of path

Let l = 7p, b = 4p

{7p+4p+2(4)}2(4)=416

{7p+4p+2(4)}2(4)=416

(11p+8)8=416

(11p+8)8=416

11p+8=52

11p+8=52

11p=44

11p=44

p=

44

11

=4, p=4

p=4411=4, p=4

∴ breadth=4×4=16m

∴ breadth=4×4=16m