A square is cut into $4$ identical triangles. Each triangle has an area of $1$ square unit. What is the side length of the square? $\newline$ $\_\_\_\_$ units

Full solution

Q. A square is cut into

4

identical triangles. Each triangle has an area of

1

square unit. What is the side length of the square?

\newline

\_\_\_\_

units

Calculate Total Area: Calculate the total area of the square by adding the areas of the four triangles. Since each triangle has an area of $1$ square unit, the total area of the square is $1 + 1 + 1 + 1 = 4$ square units.
Area-Side Length Relationship: Determine the relationship between the area of the square and its side length. The area of a square is given by the formula $A = s^2$ , where $s$ is the side length of the square.
Solve for Side Length: Solve for the side length $s$ using the area calculated. Set up the equation from the area formula: $\newline$ $s^2 = 4$ $\newline$ Taking the square root of both sides gives: $\newline$ $s = \sqrt{4}$ $\newline$ $s = 2$ units.