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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)

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Given side of the square = 40 m 

Also width of the pathway = 5 m 

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

= 40m + 10m 

= 50m 

Area of the path way = 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 x 10

Area of the pathway = 900 m2

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