An artist is creating a sculpture using bendable metal rods of equal length. One rod is formed into the shape of a square and an

Question

6 days ago

6

An artist is creating a sculpture using bendable metal rods of equal length. One rod is formed into the shape of a square and an

other rod into the shape of an equilateral triangle. If each side of the triangle is 2 inches longer than each side of the square, how long, in inches, is each rod?

Mathematics

2 answers:

zzz [12.3K] · Answer 1 · 2026-04-10T15:56:32+03:00

zzz [12.3K]6 days ago

6 0

Refer to the image below. Note that the perimeters are identical since a single rod constitutes the perimeter, and since all rods are of equal length.

AnnZ [12.3K] · Answer 2 · 2026-04-10T15:54:23+03:00

The length of each rod is 24 inches. Here’s how that conclusion is reached: An artist is working with bendable metal rods that are the same length. One rod is shaped like a square, while the other is in the form of an equilateral triangle. To find each rod's length, let the side length of the square be represented as x inches. Consequently, each side of the equilateral triangle measures x + 2 inches. We establish the perimeters accordingly. The perimeter of the square is equal to the length of the square-shaped rod, while the perimeter of the triangle equates to the length of the equilateral rod. We deduce that both lengths are equal. Ultimately, we find the side length of the square to be 6 inches, leading us to determine that the square rod measures 24 inches, while each side of the triangle is 8 inches, confirming that the length of the equilateral rod matches this as well.