joe thinks the perimeter of the figure is 15 units he is right is it reasonable that the completed figure is a pentagon? Why? the figure that is not completed is 5 on top 5 on the bottom and one side 2.
We cannot see the "completed figure." Are the remaining sides 2 and 1?
Yes!
To determine if it is reasonable for the completed figure to be a pentagon based on Joe's belief that the perimeter is 15 units, we need to analyze the given information.
1. The partially completed figure has a top side of length 5 units.
2. The partially completed figure has a bottom side of length 5 units.
3. The partially completed figure has one side of length 2 units.
To find the perimeter of the partially completed figure, we add up all the side lengths:
Perimeter = 5 units (top side) + 5 units (bottom side) + 2 units (one side)
Perimeter = 12 units
However, Joe believes that the perimeter of the figure is 15 units. Since the perimeter of the partially completed figure is only 12 units, it is not reasonable to assume that the completed figure is a pentagon.
A pentagon has five sides, so if the partially completed figure only has three sides, it cannot form a pentagon. Therefore, it is not reasonable to think that the completed figure is a pentagon based on the given information.
To determine if it is reasonable for the completed figure to be a pentagon, we need to analyze the given information about its perimeter.
First, let's understand what a pentagon is. A pentagon is a polygon with five sides.
Given that the figure is not completed and has a length of 5 units on the top, 5 units on the bottom, and 2 units on one side, we can calculate the perimeter of the incomplete figure. The perimeter is found by adding up the lengths of all the sides.
Perimeter = 5 (top side) + 5 (bottom side) + 2 (side) = 12 units.
The perimeter of the incomplete figure is 12 units, which does not match the given information of the perimeter being 15 units. Since the perimeter calculation does not match the given perimeter, it is not reasonable to conclude that the completed figure is a pentagon.
In conclusion, based on the perimeter calculation, it is not reasonable to assume that the completed figure is a pentagon because the given perimeter does not match the calculated perimeter of the incomplete figure.