Question

Consider a square shaped paddy field with side of 48 m. A pathway with uniform breadth is surrounded the square field and the length of the outer side is 52 m. Can you find the area of the pathway by using identities?

Answer 1

Let a = 52 

b = 4

(a – b)² = a² – 2ab + b² 

= 52² – 2(52)(4) + 4² 

= 2704 – 416 + 16 

= 2304