A regular octagon has an apothem of 11.6 inches and a perimeter of 87.2 inches. What is the area of the octagon

The area of the octagon is 505.76

Step-by-step explanation:

In this question, we are tasked with calculating the area of an octagon given the values of the apothem and the perimeter

Mathematically, the area can be calculated using the formula below;

Area = 1/2 × apothem × perimeter

where according to the question, the apothem = 11.6 inches and the perimeter = 87.2 inches

Plugging these value into the equation given above, we have

Area = 1/2 × 11.6 × 87.2 = 505.76

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0