Question

Percy and Caren are having a debate. Percy contends that the headquarters of the United States Department of Defense (also known as the Pentagon) has a longer perimeter than the United States Capitol. Caren contends the opposite. To settle their debate, they find satellite images of both buildings online and juxtapose them on a single coordinate grid (shown below). Assume the Pentagon is a regular pentagon with side length 300. The perimeter of the Pentagon is

Answer 1

The perimeter of the Pentagon is 1500

The perimeter of the Capitol is 1131

Percy would win the debate

Explanation:

Answer 2

1500 units.

Explanation:

-A pentagon is a a regular pentagon with 5 equal sides.

-Since the side length's are equal, the perimeter is simply the product of one side length by the number of sides of the polygon.

-Given its sides measures 300 each, its perimeter can be calculated as:

`P=5s\\\\=5* 300\\\\=1500 \ units`

Hence, the Pentagon's permimeter is 1500 units.