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Question

The perimeter of a square and an equilateral triangle are equal. If the length of side of equilateral triangle is 4 cm more than that of the square, then find the perimeter of the square.
  1. 16 cm
  2. 48 cm
  3. 36 cm
  4. 12 cm


Solution

The correct option is B 48 cm
Let the length of the side of square be x cm.

Then, the length of side of the triangle is (x+4) cm.

The perimeter of the square is 4x cm.
The perimeter of the equilateral triangle 
= (x + 4) + (x + 4) + (x +4)
= 3(x+4) cm

According to the question, 4x=3(x+4)4x=3x+124x3x=12x=12

So, the length of the side of the square is  12 cm.

Perimeter of the square
=4×12=48 cm

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