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SSC CPO 2020 PYQ — Question 140

SSC CPO - 25 Nov 2020 - Shift 2 • Quantitative Aptitude • Q140

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The base of a triangle is equal to the perimeter of a square whose diagonal is 9√2 cm, and its height is equal to the side of a square whose area is 144 cm2. The area of the triangle ( in cm2) is :

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Correct answer: B

Explanation

The correct answer is Option 2 i.e. 216.

We know that

Diagonal of square = 2\sqrt2a

Area of triangle = 1/2 base × height

The perimeter of square = 4 × side

Now,

⇒ 2\sqrt2a = 92\sqrt2

⇒ a = 9

here, a = side

⇒ 9 × 4 = 36 [base of triangle]

Now, 

Height is equal to the side of the square whose area is 144 cm2

⇒ b2 = 144

⇒ b = 12

The height of the triangle is equal to the side of the square

⇒ Area of triangle =1/2 × 12 × 36 = 216 cm2