The Pentagon in Washington DC is immense in size, with each outside wall 921 feet in length. What is the perimeter of the Pentagon?
A) $3,684 ft$.
B) $4,605 ft$.
C) $5,526 ft$.
D) $2,663,476.74 ft$.
Answer (2)
The Pentagon has 5 sides.
Each side measures 921 feet.
The perimeter is calculated by multiplying the number of sides by the length of each side: 5 × 921 = 4605 .
The perimeter of the Pentagon is 4605 f t .
Explanation
Understanding the problem The Pentagon is a polygon with five sides. We are given that each side of the Pentagon in Washington DC is 921 feet long. To find the perimeter, we need to calculate the total length of all its sides.
Setting up the calculation Since the Pentagon has 5 sides, and each side is 921 feet long, we can find the perimeter by multiplying the length of one side by the number of sides:
Perimeter = Number of sides × Length of one side
Perimeter = 5 × 921 feet
Calculating the perimeter Now, we perform the multiplication:
5 × 921 = 4605
So, the perimeter of the Pentagon is 4605 feet.
Final Answer Therefore, the perimeter of the Pentagon is 4605 feet. The correct answer is B) 4 , 605 f t .
Examples
Imagine you're planning to build a fence around a pentagon-shaped garden. Each side of the garden is 10 feet long. To determine how much fencing you need, you would calculate the perimeter by multiplying the length of one side (10 feet) by the number of sides (5). This gives you a total of 50 feet of fencing needed. This concept is useful in construction, landscaping, and urban planning to estimate the amount of materials needed for projects involving regular polygons.
The perimeter of the Pentagon is calculated by multiplying the number of sides (5) by the length of each side (921 feet), resulting in a perimeter of 4,605 feet. Therefore, the correct answer is B) 4,605 ft.
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