A path of uniform width runs outside a square park of side $20$ m. If the outer square side is $24$ m, the area of the path is:

Question

A path of uniform width runs outside a square park of side $20$ m. If the outer square side is $24$ m, the area of the path is:

Option A

144 sq m

Option B

160 sq m

Option C — Correct answer

176 sq m

Correct choice.

Option D

196 sq m

Explanation

Path area $=24^2-20^2=576-400=176\text{ m}^2$.

Chapter Mock 11: Mensuration