If the area of hexagon is 150cm2. Find the area of the smaller hexagon

it will be some smaller value.

If you know the linear scale factor, the area drops by the square of that ratio.

60

Please answer my question

To find the area of the smaller hexagon, we need to know the relationship between the areas of the two hexagons. Without additional information, it is impossible to determine the exact dimensions and proportionality of the smaller hexagon.

In a regular hexagon, all sides and angles are equal. If the larger hexagon is regular, we can use the concept of similarity to find the ratio of the areas.

The ratio of the areas of two similar shapes is equal to the square of the ratio of their side lengths. In a regular hexagon, the length of each side is the same. Therefore, the ratio of the areas of two similar regular hexagons is equal to the square of the ratio of their side lengths.

Suppose the side length of the larger hexagon is "x". The area of the larger hexagon can be calculated using the formula A = (3√3 / 2) × s^2, where A is the area and s is the side length of the hexagon.

A = (3√3 / 2) × x^2

We know that the area of the larger hexagon is 150 cm². So,

150 = (3√3 / 2) × x^2

To solve for x, divide both sides of the equation by (3√3 / 2):

150 / (3√3 / 2) = x^2

Now, we can find the value of x by solving this equation.

Once we have the value of x, we can use it to calculate the area of the smaller hexagon using the same formula (A = (3√3 / 2) × s^2) and the corresponding side length.

Please provide the necessary information about the larger hexagon (such as its side length) to proceed with the calculation.