Question

What is the area of the shaded region below? Assume the hexagon is regular. Use your calculator and round your final answer to the nearest hundredth.

Answer 1

Apothem is the measure from the center to a side ... 90 degrees

so we have 5 triangles of the form:

Answer 2

find the area of that triangle; multiply it by 5; and then subtract out the area of the rectangle.

Answer 3

a=bh right

Answer 4

for which one :)

Answer 5

triangle

Answer 6

area of a triangle is: bh/2

Answer 7

all a triangle is, is half of a rectangle ...

Answer 8

so i got 1047.75

Answer 9

hmm, i thought i saw a pentagon ... this has 6 sides, so lets do the triangle times 6

Answer 10

ok so 1257.3

Answer 11

6 * (19.05*22)/2 = 1257.3 correct

now we just have to subtract out the area of the rectangle