The area of the regular octagon is 10.15 cm2.

a regular octagon has sides with lengths of 1.45 centimeters.

what is the measure of the apothem, rounded to the nearest hundredth of a centimeter?

The measure of the apothem is 1.75 cm

Step-by-step explanation:

we know that

The area of a regular polygon is equal to

where

P is the perimeter of the regular polygon

a is the apothem of the regular polygon

Find the perimeter P

The perimeter of the regular octagon is equal to the length side of the octagon multiplied by 8 (the number of sides)

so

Find the apothem

we have

substitute in the formula

solve for a

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

its 4 because 2 times 2 is 4, if you double the number two you get four