Two regular hexagons are similar. The perimeters have a ratio of 5: 2. If the side of the larger hexagon has a
length of 25 inches, what is the perimeter of the smaller hexagon?
AND COULD SOMEONE PLEASE ANSWER IT!?
5 feet
Perimeter is a linear measurement.
The perimeter or sides of similar shapes are in direct proportion to the lengths of the sides.
so ....
side of larger is 25, or the perimeter is 150
5/2 = 150/x
5x = 300
x = 60 <----- perimeter of smaller
check:
150 : 60
= 15:6
= 5 : 2
i dont think thats the answer cause on my packets the answer key says A. 5 feet B. 4 feet and 6 inches C. 4 feet and 11 inches and D. 10 feet. Sooo yeah
You need to convert 60 inches to measurement in feet.
How many feet are in 60 inches?
To find the perimeter of the smaller hexagon, we can use the concept of similarity between the two hexagons.
Since the perimeters of the hexagons have a ratio of 5:2, it means that the corresponding sides of the hexagons have the same ratio. In other words, if the side length of the larger hexagon is 25 inches, the corresponding side length of the smaller hexagon can be found by dividing 25 by 5 and then multiplying by 2.
Let's calculate this step by step:
1. Calculate the ratio of the side lengths: 25 (side length of larger hexagon) ÷ 5 (perimeter ratio) = 5.
2. Multiply the ratio by the smaller hexagon's perimeter ratio: 5 (ratio) × 2 (perimeter ratio) = 10.
Therefore, the side length of the smaller hexagon is 10 inches.
Now, to find the perimeter of the smaller hexagon, we can use the formula for the perimeter of a regular hexagon, which states that the perimeter of a regular hexagon is equal to 6 times the length of any one side.
Using the side length of the smaller hexagon (10 inches), we can calculate the perimeter:
Perimeter of smaller hexagon = 6 (number of sides in a hexagon) × 10 (side length of smaller hexagon) = 60 inches.
Hence, the perimeter of the smaller hexagon is 60 inches.