- 120 cm
- 80 cm
- 100 cm
- 140 cm
- 160 cm

Option 3 : 100 cm

**Given:**

Length of the rectangle = (side of square + 8 cm)

Breadth of the rectangle = (side of square - 6 cm)

**Formula used:**

Area of rectangle = Length × Breadth

Area of square = (side)^{2}

Perimeter of rectangle = 2(Length + Breadth)

**Calculation: **

Let side of a square be a

Let Length and Breadth of a rectangle be l and b respectively

a^{2 }= (l × b)

⇒ a^{2} = [(a + 8) × (a - 6)]

⇒ a^{2} = a^{2} - 6a + 8a - 48

⇒ 2a = 48 cm

⇒ a = 24 cm

⇒ l = (a + 8) = (24 + 8)

⇒ 32 cm

⇒ b = (a - 6) = (24 - 6)

⇒ 18 cm

Perimeter of rectangle = 2(32 + 18) cm

⇒ 100 cm

**∴ Perimeter of rectangle is 100 cm**

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