Question

a path of uniform width of 2m runs around and outside a square shaped park of side 22m find the area of the. path

Answer 1

Side= 22m
Area of the park = 22m x 22m
= 484 m2
As a path of uniform width of 2 m, so the side increase from both the side
=2+22+2=26m
Now,
Taking the side as 26m (including the path from both side)
Area =26m x 26m
=676 m2
Now the area of path =
Outer area(including path) - Inner area(excluding the path)

=676 sq. m - 484 sq. m
= 192 sq. m

Answer 2

[(22+2+2)^2]-22^2
》(26+22)(26-22).....a^2-b^2=(a+b)(a-b)
》48*4
》192
area of path is 192m^2