The base of a regular pyramid is a hexagon.

what is the area of the base of the pyramid?

enter your answer in the box. express your answer in radical form.

cm²

ANSWER

EXPLANATION

The area of a regular polygon is

where 'a' is the apothem of the polygon and 'p' is the perimeter of the polygon.

From the diagram,

a=8sin(60)

The length of one side of the hexagon is 2×4=8.

The perimeter of the hexagon is

p=6×8=48

The area of the hexagon is

the 4th choice is the correct one

step-by-step explanation:

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x