Question

Exercise 23.2
1. A path of uniform width of 2 m runs around and
outside a square-shaped park of side 22 m. Find the
area of the path.
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Answer 1

Answer:

192 sq. m

Step-by-step explanation:

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

Answer:

side of square = 22m

Inner Area of square park = 22×22

= 484 m2

Path of width increase by 2m from both sides

New side = 2+22+2 = 26m

Outer Area of square park = 26 ×26

= 676 m2

Area of path = outer area of square park -inner area of square park

= 676 - 484

= 192 m2