A regular hexagon has side lengths 15 in. The perimeter of the hexagon is 90 in. A second hexagon has side lengths 18.75 in. Find the perimeter of the second hexagon. Round to the nearest tenth.
18.75 * 6 = ?
113.5
To find the perimeter of the second hexagon, we need to know the number of sides it has. Since it is also a hexagon, it also has 6 sides.
The perimeter of a polygon can be found by multiplying the length of one side by the number of sides.
For the first hexagon, we are given that the side length is 15 in and the perimeter is 90 in. Using this information, we can set up the equation:
15 in x 6 sides = 90 in
Simplifying, we have:
90 in = 90 in
This confirms that the given information is correct for the first hexagon.
Now, for the second hexagon, we are given the side length of 18.75 in. To find the perimeter, we can use the same formula:
18.75 in x 6 sides = 112.5 in
Rounded to the nearest tenth, the perimeter of the second hexagon is approximately 112.5 in.
To find the perimeter of the second hexagon, we need to know the number of sides in the hexagon and the length of each side. We already know the length of each side, which is 18.75 inches.
Now, let's find the number of sides in the second hexagon. We can use the fact that the perimeter of the hexagon is 90 inches. Since a regular hexagon has six equal sides, the total length of all six sides must be 90 inches. Therefore, the length of each side of the first hexagon is 90/6 = 15 inches.
Now that we know both the length of each side of the second hexagon (18.75 inches) and the length of each side of the first hexagon (15 inches), we can calculate the perimeter of the second hexagon.
The perimeter of any polygon can be found by multiplying the length of one side by the number of sides. In this case, the perimeter of the second hexagon is 18.75 inches × 6 sides = 112.5 inches.
Rounding this result to the nearest tenth, the perimeter of the second hexagon is approximately 112.5 inches.