Question
A square and an equilateral triangle have equal perimeters. If the side length of the square is 8 inches, what is the side length of the triangle?
A square and an equilateral triangle have equal perimeters. If the side length of the square is 8 inches, what is the side length of the triangle?
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Koala Tutor
Koala Ai Support
The perimeter of a square with side length 8 inches is $4 \times 8 = 32$ inches.
Since the square and equilateral triangle have equal perimeters, the perimeter of the triangle is also 32 inches.
In an equilateral triangle, all three sides are congruent. Thus, each side length of the equilateral triangle is $\frac{32}{3} = \boxed{\frac{32}{3}}$ inches.