SOLUTION: An equilateral triangle has the same perimeter as a rectangle. The length of the rectangle is 4cm more than the side of the triangle. The widthbof the rectangle is 6cm less than th

Algebra ->  Rectangles -> SOLUTION: An equilateral triangle has the same perimeter as a rectangle. The length of the rectangle is 4cm more than the side of the triangle. The widthbof the rectangle is 6cm less than th      Log On


   

Question 828228: An equilateral triangle has the same perimeter as a rectangle. The length of the rectangle is 4cm more than the side of the triangle. The widthbof the rectangle is 6cm less than the side of the triangle. What is the side of the triangle .
A FORMULA IS NEEDED !!
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Triangle: x = length of a side, perimeter is 3x.

Rectangle: side length is x+4; side width is x-6.
perimeter is 3x; 2%28x%2B4%29%2B2%28x-6%29=3x, because given both perimeters are equal.

2x%2B8%2B2x-12=3x
x%2B8-12=0
x=12-8
x=4----final answer, but not a formula. A side length for the equilateral triangle.

You could start with the perimeter equation for the rectangle and adjust as you want if you want a formula.