To solve this, we work out the perimeter of the hexagon, by finding x, and we work out the perimeter of the pentagon by find y, and the compare them:
Perimeter of the Hexagon:
Since it is a regular hexagon, all the sides are the same: This means we can say that:
4x - 2 = x + 4 (Now lets solve this)
4x = x + 6 ( Add both sides by 2 to get 4x alone)
3x = 6 (Subtract both sides by x, to collect the x values)
x = 2 (Divide both sides by 3 to get what just x is)
Now we work out the length of one side by substituting the value for x in
x + 4 = 2 + 4
= 6
Now that we know the length of one side, we can multiply that by 6 to get the perimeter, because a hexagon has six sides.
6 * 6 = 36
Perimeter of the Pentagon
Since it is a regular Pentagon, all the sides are the same, just like the hexagon. This means we can say that:
5y - 8 = 2y + 1 (Now we solve this like we did before)
5y = 2y + 9 ( Add both sides by 8 to get 5y alone)
3y = 9 (Subtract both sides by 2y, to collect the y values)
y = 3 (Divide both sides by 3 to get what just y is)
Now we work out the length of one side by substituting the value for x in
2y + 1 = (2 * 3) + 1
= 7
Now that we know the length of one side, we can multiply that by 5 to get the perimeter, because a pentagon has 5 sides.
5 * 7 = 35
Since the perimeter of the hexagon is 36, and the perimeter of the pentagon is 35, we can see that:
The hexagon has the larger perimeter.
Answer:
225/10
Step-by-step explanation:
22.5 is 45/2 which is 22 1/2 as a mixed fraction and 225/10 is 22 1/2 as a mixed fraction so I think thats the answer.
Answer:
-14.8p+25.9
Step-by-step explanation:
got it right edge 2020.
