The perimeter of the base of a pentagonal prism is 45 cm. What is the width of the rectangular side of that prism?
For the question: The perimeter of the base of a pentagonal prism is 45 cm. What is the width of the rectangular side of that prism? is 9 correct?
45/5 = 9
To find the width of the rectangular side of the pentagonal prism, we need to know the dimensions of the base.
Let's assume the pentagon's side length is "s". Since a pentagon has 5 equal sides, the perimeter of the pentagon is given by 5s.
Given that the perimeter of the base of the pentagonal prism is 45 cm, we can set up the equation:
5s = 45
Now we solve for "s":
s = 45 / 5
s = 9 cm
Therefore, the side length of the pentagon's base is 9 cm.
Since the pentagonal prism has a rectangular side, we need to know the dimensions of this rectangular side. If the length of the rectangular side is "l" and the width is "w", the perimeter of the rectangular side is given by 2(l + w).
Given that the perimeter of the base is 45 cm, and we know that one side is made up of a pentagon with a side length of 9 cm, we can set up the equation:
2(l + w) = 45 - 5s
Substituting the value of s we found earlier:
2(l + w) = 45 - 5(9)
2(l + w) = 45 - 45
2(l + w) = 0
This means that the perimeter of the rectangular side is zero. It is not possible to have a rectangular side with a perimeter of zero. Please double-check the given information or provide additional details if available.
To find the width of the rectangular side of the prism, we need to know the perimeter of the pentagonal base and the number of sides in the base. A pentagonal prism has two parallel rectangular bases and five rectangular sides connecting the corresponding edges of the two bases.
Let's break down the problem into steps:
Step 1: Determine the number of sides in the pentagonal base.
A pentagon has five sides, so the pentagonal base of the prism also has five sides.
Step 2: Find the length of each side of the pentagonal base.
The perimeter of the pentagonal base is given as 45 cm. Since the base has five sides, the length of each side can be calculated by dividing the perimeter by the number of sides.
Side length of the pentagonal base = Perimeter / Number of sides
Side length = 45 cm / 5
Side length = 9 cm
Step 3: Find the width of the rectangular side of the prism.
The width of the rectangular side of the prism will be the same as the side length of the pentagonal base, as the rectangular sides connect corresponding edges of the base.
Therefore, the width of the rectangular side of the prism is 9 cm.