Question 211729
Each side of an equilateral triangle is 4 cm longer than the side of a square. The sum of the perimeters of the two figures is 96 cm. How long is each side of the triangle?


Let each side of the square be S


Since each side of the triangle is 4 cm longer than each side of the square, then each side of the triangle is (S + 4)


The perimeter of the square would be 4S (all sides are equal)


The perimeter of the equilateral triangle is 3(S + 4), or 3S + 12


Since the sum of both perimeters equals 96, then we have:

4S + 3S + 12 = 96

7S = 84

{{{S  = 84/7}}} = 12 cm


Therefore, each side of the square, or S, equals 12, which makes each side of the triangle {{{highlight_green(16)}}} (12 + 4) cm.