Question

The length of the side of a square is represented by x+2. the length of the side of an equilateral triangle is 2x. if the square and the equilateral triangle have equal perimeter, then the value of x is _______

Answer 1

Perimeter of square = 4*side,

Perimeter of equilateral triangle 3*side

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Answer 2

Given :

The length of the side of square = x+2

and, the length of the side of equilateral triangle = 2x

To find :

The value of x .

Solution :

According to the question ,

perimeter of square = perimeter of the equilateral triangle

=> 4 * ( x + 2 ) = 3 * ( 2x )

=> 4x + 8 = 6x

=> 2x = 8

=> x = 4

The value of x is 4 .