KnowledgeBoat Logo
|

Mathematics

If four times the area of a square is 484 cm2, then perimeter of the square is :

  1. 32 cm

  2. 48 cm

  3. 40 cm

  4. 44 cm

Quadratic Equations

2 Likes

Answer

Let the area of square be x cm2,

Given,

Four times area of square = 484 cm2

⇒ 4x = 484

⇒ x = 4844\dfrac{484}{4}

⇒ x = 121 cm2

Area of Square = 121 cm2

Let side of square be a cm.

⇒ a2 = 121

⇒ a = 121\sqrt{121}

⇒ a = ± 11

Since, length cannot be negative, thus a = 11 cm.

Perimeter of Square = 4 × a

⇒ 4 × 11

⇒ 44 cm.

Hence, option 4 is the correct option.

Answered By

2 Likes

Related Questions