Question

The pathway of a square paddy field has 5 m width and length of its side is 40 m. Find the total area of its pathway. (Note: Use suitable identity)

Answer 1

Given side of the square = 40 m

Also width of the pathway = 5 m

∴ Side of the larger square = 40 m + 2(5) m

= 40 m + 10 m

= 50 m

Area of the pathway = area of large square – area of smaller square

= 50² – 40² 

Substituting a = 50 and b = 40 in

a² – b² = (a + b)(a – b) we have

50² – 40² = (50 + 40)(50 – 40)

Area of pathway = 90 × 10

Area of the pathway = 900 m²