The perimeter of a regular octagon is 124 inches, Find the length of each side.

Short Answer

Expert verified

The required answer is15.5inches

Step by step solution

01

Step 1- Define the octagon

The formula represents the perimeter of an octagon P=8a where a represents the side of the octagon.

02

– Form the equation

Substitute 124 in place of P into the formula P=8a.

124=8a

03

Step 3- Solve the equation for a

Perform division of 8 on both sides of the equation.

1248=8a8a=15.5inches

04

Step 4- Perform the checking

Substitute the length of the side of the octagon into the formula P=8a.

localid="1646911254983" P=8×15.5=124inches

This results in the provided perimeter which means that the obtained answer is correct.

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