The perimeter of a regular pentagon is 1540 cm. How long is each side?
Each side of the pentagon = 308 cm
Step 1: Understand the shape.
A regular pentagon has 5 sides and all sides are equal.
Step 2: Write the perimeter rule.
Perimeter of a regular pentagon = sum of its 5 equal sides.
Let one side be ( s ) (in cm).
So, ( ext{Perimeter} = 5 imes s ).
Step 3: Use the given perimeter.
Given ( ext{Perimeter} = 1540 ext{ cm} ).
So, ( 5 imes s = 1540 ).
Step 4: Solve for one side.
( s = dfrac{1540}{5} ).
( s = 308 ).
Step 5: Write the answer with units.
Each side ( = 308 ext{ cm} ).
Quick check (optional):
( 5 imes 308 = 1540 ). This matches the given perimeter, so the answer is correct.