All of the triangles in the figure below are congruent. What is the area of the figure? Note that all measurements are in centimeters.

Question

anonymous · Answer

attachment

jim_thompson5910 · Answer

What is the area of each triangle?

anonymous · Answer

4?

jim_thompson5910 · Answer

yep

A = b*h/2

A = 4*2/2

A = 4

anonymous · Answer

A=1/2bh correct?

jim_thompson5910 · Answer

There are 6 of these triangles with the area of 4 square units, so the total area of the triangles combined is 6*4 = 24 square units

jim_thompson5910 · Answer

so that takes care of the triangles

jim_thompson5910 · Answer

for the hexagon, you start with this

|dw:1363123525779:dw|

jim_thompson5910 · Answer

and you break it up like this

|dw:1363123556419:dw|

it's not the best drawing, but each triangle inside the hexagon is congruent and it's an equilateral triangle

anonymous · Answer

i got 72

anonymous · Answer

i mean 96

anonymous · Answer

i accidentally split my hexagon up wrong

jim_thompson5910 · Answer

the height of each triangle is 6 and the base is 4

|dw:1363123616908:dw|

so

A = b*h/2

A = 4*6/2

A = 12

There are 6 of these triangles, so the hexagon has a total area of 12*6 = 72 square units

jim_thompson5910 · Answer

in total, you will have 72 + 24 = 96 square units

anonymous · Answer

thank you