Correct Answer - Option 4 : 1120
Given:
Perimeters of a rectangle = Perimeter of a square
Perimeter of square = 96 cm
Breadth of rectangle = Side of square - 4
Formula used:
Perimeter of rectangle = 2 × (Length + Breadth)
Perimeter of square = 4 × Side of square
Area of rectangle = Length × Width
Calculations:
Let the side of square be x and the length of rectangle be L
Perimeter of square = 4x
⇒ 4x = 96
⇒ x = 24 cm
Breadth of rectangle = 24 - 4
⇒ 20 cm
Perimeter of rectangle = 2 × (L + 20)
⇒ 2 × (L + 20) = 96
⇒ L + 20 = 48
⇒ L = 28 cm
Area of the rectangle = 28 × 20
⇒ 560 cm2
∴ Two times the area of the rectangle is = 2 × 560 = 1120 cm2