Question

A square and an equilateral triangle have the same perimeter. Each side of the triangle is 3 inches longer than each side of the square. Select the equation that will help you find the length of each side of the square.

Answer 1

Explanation:

Let the length of the side of the square be x

Perimeter of the square = 4x

Let the sides of the triangle be s1, s2 and s3

If each side of the triangle is 3 inches longer than each side of the square, then

s1 = x+3

s2 = x+3

s3 = x+ 3

Perimeter of the triangle P = s1+s2 + s3

If the square and thr triangle have the same perimeter then;

perimeter of square = perimeter of triangle

4x = s1+s2+s3

4x = x+3+ x+3+ x+3

4x = 3(x+3)

Hence the required equation is 4x = 3(x+3) where x is the side of the square.