Question Video: Finding the Ratio between a Square and Triangle’s Perimeters given the Ratio between Their Lengths Mathematics

If the side length of a square is equal to the side length of an equilateral triangle, what is the ratio of the perimeter of the square to the perimeter of the equilateral triangle?

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Video Transcript

If the side length of a square is equal to the side length of an equilateral triangle, what is the ratio of the perimeter of the square to the perimeter of the equilateral triangle?

Let’s begin by drawing our two shapes. If we let the side length of the square be equal to 𝐿, then its perimeter will be equal to four 𝐿. We are told that the side length of an equilateral triangle is the same. This means it will have a perimeter of three 𝐿. The ratio of the perimeter of the square to the triangle is therefore four 𝐿 to three 𝐿. Dividing both of these by 𝐿 gives a ratio in its simplest form of four to three.

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