The lateral area of a regular pyramid with an octagonal base is 109.9 cm2. if the slant height is 6.7 cm, find the length of one side of the base. round to the nearest tenth. a 2.1 m b 16.4 m c 32.8 m d 4.1 m

Given pyramid with octagonal base. Image of the pyramid attached below:

We know the formula of Lateral Area of pyramid =

where p represent the perimeter of the octagonal base

and l represent the slant height of the pyramid.

109.9 =

Solve for p

p = 32.81 cm

Perimeter of octagonal base (all sides are same) = 8*s

where s represent the side of octagon

8s = 32.81

Solve for s

s = 4.1 cm

Side of the octagon = 4.1cm (option D)

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2