If the perimeter of the first square is equal to 3 times the perimeter of the second square, then what is the ratio of their sides?

  1. 4 ∶ 3

  2. 3 ∶ 1

  3. 3 ∶ 2

  4. 4 ∶ 1

Answer (Detailed Solution Below)

Option 2 :

3 ∶ 1

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Detailed Solution

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Given:

The perimeter of the first square = 3 × perimeter of the second square

Formula used:

Perimeter = 4 × Side

Calculation:

Let the side of the first square be x cm and the side of the second square be y cm.

According to the question,

The perimeter of the first square = 3 × perimeter of the second square

⇒ 4 × Side of first square = 3 × (4 × Side of the second square)

⇒ 4x = 12y

⇒ x/y = 3

Required ratio = 3 ∶ 1

The ratio of their sides is 3 1.

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