a triangle with equal sides have the same perimeters. the length of a side of the triangle is 2x+2. The length of a side of the square is x + 8.

Question

Help find the value of x

Answer 1

Perimeter of equilateral triangle          =       perimeter of square

     3 * (2x+2)                                   =           4 * (x+8)

 

    6x + 6  =  4x + 32

     2x + 6 = 32                                      [subtract 4x from each side]

     2x = 26                                         [subtract 6 from each side]

      x = 13                                         [divide each side by 2]

 

Check:

   Is   3*( 2*13+2 )  =  4*( 13+8 )      ?

         3* 28   =   4*21       ?

            84   =   84    ?yes