A regular hexagon with side length 4 has the same area as a square. What is the length of the square?

The length of the square is

Step-by-step explanation:

By definition, the area of a Regular polygon can be calculated with the following formula:

Where "s" the length of any side of the polygon and "n" is the number of sides .

According to the information given in the exercise, you know that:

Since an hexagon has six sides, you know that:

Therefore, its area is:

The formula to find the area of a square is:

Where "s" is the length of any side of the square.

Since that regular hexagon has the same area as this square, you can substituting the area calculated above into the formula for calculate the area of a square, and then solve for "s".

Then you get:

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it