A regular octagon has an apothem measuring 10 in. and a perimeter of 66.3 in. A regular octagon has an apothem with length 10 centimeters and a perimeter of 66.3 inches.

What is the area of the octagon, rounded to the nearest square inch?

88 in.2
175 in.2
332 in.2
700 in.2

332 in.2

Step-by-step explanation:

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332 in.2

Step-by-step explanation:

the correct answer is option c.   3

step-by-step explanation:

points to remember

equation of the line with coordinates (x₁, y₁) and (x₂, y₂) is given by,

slope m = (y₂ - y₁)/(x₂ - x₁)

from the figure we can see a line with two coordinates given

to find the slope of given line

here   (x₁, y₁)   = (-1, -1 ) and (x₂, y₂) = (1, 5)

slope m = (y₂ - y₁)/(x₂ - x₁)

  = (5 - -1)/(1 - -1)

  = (5 + 1)/(1 + 1)

  = 6/2 = 3

therefore the correct answer is option c.   3