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SSC CGL 2022 PYQ — Question 66

SSC CGL - 13 April 2022 - Shift 1 • Quantitative Aptitude • Q66

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If the length of a diagoanl of a square is (a+b) , then the area of the area of the square is :

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Correct answer: B

Explanation

 The correct answer is option 2 i.e.  12\frac{1}{2}(a2 + b2) + ab

 let the side of the square is = A 

length of a diagonal of a square = √2A = (a+b)

A =  (a+b) / √2

area of square = A2 = (a+b) / √2.

Area = (a+b)2 / 2

Area =  12\frac{1}{2}(a2 + b2) + ab