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Mathematics

The area of a rectangle is thrice that of a square. Length of the rectangle is 40 cm and the breadth of the rectangle is 32\dfrac{3}{2} times that of the side of the square. The side of the square is:

  1. 15 cm

  2. 18 cm

  3. 20 cm

  4. 24 cm

Mensuration

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Answer

Given,

Area of rectangle = 3 × Area of square ……..(1)

Length of rectangle = 40 cm

Let side of square be x cm.

Breadth of rectangle = 32\dfrac{3}{2} × side of a square

= 1.5 × x = 1.5x

Area of square = side2 = x2 cm.

Area of rectangle = length × breadth

= 40 × 1.5x

= 60x.

Substituting values in equation (1), we get :

⇒ 60x = 3 × x2

⇒ 60 = 3x

⇒ x = 603\dfrac{60}{3} = 20 cm.

Hence, option 3 is the correct option.

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