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

24 inches

Step-by-step explanation:

We are given that an artist creating a sculpture using bendable metal rods of equal length.

One rod is in square shape and second rod is in equilateral triangle shape.

We have to find the length of each rod

Let side of square= x inches

Length of each side of equilateral triangle =x+2 inches

We know that perimeter of square=

Perimeter of equilateral triangle=

Using the above formula

Then , Length of square shaped rod=perimeter of square =

Perimeter of equilateral triangle =Length of equilateral shaped rod=

Length of square shaped rod=Length of equilateral triangle  shaped rod

Length of each side of square =6 inches

Length of square shaped rod=

Length of each side of equilateral side=6+2=8 inches

Length of equilateral shaped rod=

s + (a + 178) = 2000

step-by-step explanation:

2000 - 178 = 1822

1822 / 2 = 911

911 + 178 = 1089

1089 + 911 = 2000

abha = 1089

shane = 911

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6