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OpenStudy (vampireprincess):
What is the area of the regular hexagon with a side length of 3 cm and an apothem of 2.6 cm?
A.
15.6 cm2
B.
23.4 cm2
C.
46.8 cm2
D.
31.2 cm2
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OpenStudy (vampireprincess):
this is the pic for this question plz help
OpenStudy (michele_laino):
we have to apply this formula:
\[\Large {\text{area = }}\frac{{{\text{perimeter }} \times {\text{apothem}}}}{{\text{2}}}\]
OpenStudy (vampireprincess):
2.6 is the height and 3 is the base so how would you the numbers in your equation
OpenStudy (michele_laino):
hint:
perimeter= 6* side= 6*3=...
OpenStudy (michele_laino):
so, perimeter=...?
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OpenStudy (michele_laino):
what is:
6*3=...?
OpenStudy (vampireprincess):
18
OpenStudy (michele_laino):
ok! Now the requested area is:
\[{\text{area = }}\frac{{{\text{perimeter }} \times {\text{apothem}}}}{{\text{2}}} = \frac{{18 \times 2.6}}{2} = ...\]
OpenStudy (vampireprincess):
18*2.6=46.8 AND THEN divide that with 2 and you get 23.4
OpenStudy (michele_laino):
that's right!
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OpenStudy (vampireprincess):
so the answer is 23.4?
OpenStudy (michele_laino):
yes! the area is 23.4 cm^2
OpenStudy (vampireprincess):
can you help me on one more?
OpenStudy (michele_laino):
ok!
OpenStudy (vampireprincess):
What is the area of the figure?
A.
279 in2
B.
342 in2
C.
389 in2
D.
398 in2
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OpenStudy (michele_laino):
we can view your figure as the union of two rectangles, like this:
|dw:1433926182474:dw|
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