Question

a square and equilateral triangle have the same perimeter. Each side of the triangle is 4 inches longer than each side of the square. What is the perimeter of the square?

Answer 1

The perimeter of the equilateral triangle is 3 times the side length, while the perimeter of the square is 4 times the side length. If the square side is length a inches then its perimeter is 4a. The triangle side is a+4 inches and its perimeter is 3(a+4)=3a+12. The two perimeters are the same length so 4a=3a+12, so a=12in and the perimeter of the square is 48in (4 ft).