Question

The perimeter of a square is 4 units greater than the combined perimeter of two congruent equllateral triangles. The side length of the square is 10 units. Write and solve an equation to find the side length of the triangles.

Answer 1

The side length of the equilateral triangles is 6 units.

Step-by-step explanation:

Let's assume that the side length of each equilateral triangle is x units. The perimeter of a square is given by 4 * side length, and the perimeter of an equilateral triangle is 3 * side length. Thus, the combined perimeter of two congruent equilateral triangles is 6 * x units. Given that the perimeter of the square is 4 units greater than the combined perimeter of the triangles, we can write the following equation:

4 * 10 = 6 * x + 4

Simplifying the equation, we get 40 = 6x + 4. Subtracting 4 from both sides, we have 36 = 6x. Dividing both sides by 6, we find that x = 6 units. Therefore, the side length of the equilateral triangles is 6 units.

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