SOLUTION: An equilateral triangle has the same area as a square.Express the perimeter of the triangle as a fraction of the perimeter of the square.

Question 363809: An equilateral triangle has the same area as a square.Express the perimeter of the triangle as a fraction of the perimeter of the square.
Answer by amoresroy(361) (Show Source): You can put this solution on YOUR website!
Square Triangle Explaination
Side x
Area x^2 x^2
Perimeter 4x
Area of Square = Area of Equilateral Triangle
x^2 = b * h (where h = 3^^1/2 b)
= 3^1/2 b^2
x = 1.316 b
b = .76x
Perimeter of Triangle = 6b
= 6(.76) x
= 4.559 x
Perimeter of Triangle as a function of Perimeter of Suare;
4.559 x / 4 x = 1.14
The perimeter of the equi triangle is 1.14 times the perimetrer of square
RELATED QUESTIONS
An equilateral triangle and a regular hexagon have the same perimeter . what is the ratio (answered by CharlesG2)

An equilateral triangle has a perimeter of 18 inches. What is the perimeter of a square... (answered by josgarithmetic)

What is the length of each side if a square has the same perimeter as a equilateral... (answered by lwsshak3)

Find the side of a square with the same perimeter as an equilateral triangle with side 10 (answered by solver91311)

THE PERIMETER OF A CERTAIN SQUARE IS THE SAME AS THE PERIMETER OF A CERTAIN EQUILATERAL... (answered by solver91311)

How do I express the area of an equilateral triangle as a function of the Length of a... (answered by Alan3354)

A square and an equilateral triangle have the same perimeter. The area of the square is... (answered by killer6678)

A square whose area is 81 has its perimeter equal to the perimeter of an equilateral... (answered by josgarithmetic,MathTherapy)

A square and an equilateral triangle have the same height. The square has an area of 225... (answered by TimothyLamb)