SSC GD 2023 PYQ — Question 52

The correct answer is option 3 i.e. 48 cm².

Area of the rectangle = length × breadth

Perimeter = 2 × (length + breadth)

Diagonal d = 10 cm

$\sqrt{(l^2+b^2)}$ = 10

l² + b² = 100

Perimeter = 28 cm

⇒ 2 × (length + breadth) = 28

⇒ l + b = 14 cm

(x + y)² = x² + y² + 2xy

⇒ 14² = 100 + 2lb

⇒ 196 - 100 = 2lb

⇒ lb = 96/2 = 48 cm²

Area of the rectangle = 48 cm²