SSC CGL 2020 PYQ — Question 63

SSC CGL - 5th March 2020 Shift 1 • Quantitative Aptitude • Q63

The diagonal of a square A is (a + b) units. What is the area (in square units) of the square drawn on the diagonal of square B whose area is twice the area of A?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e 2(a + b)2

Understanding Application

Area of square A = (diagonal)2 / 2

The area of square B is twice of A.

The side of square B will be the square root of the area of the square.

⇒ Area of square A = (a + b)2 / 2

⇒ Area of square B = (a + b)2

⇒ The side of square B = a + b

⇒ The diagonal will be = √2(a + b)

The area will be = 2(a + b)2