Q19 of 97 Page 780

Find the area and perimeter of a square plot of land whose diagonal is 24 m long. [ Take: √2 = 1.41.]

Given:


Diagonal = 24 m



Let the side of square be s


Area of square = 1/2 × Diagonal2


= 1/2 × 242


= 288 m2


Area of square = side2


⇒ 288 m2 = s2


⇒ s = 12√2 m


⇒ s = 16.92 m


Therefore,


Perimeter of square = 4 × 16.92


= 67.68 m


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