Question

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

Answer 1

What is the area of each triangle?

Answer 2

4?

Answer 3

yep

A = b*h/2

A = 4*2/2

A = 4

Answer 4

A=1/2bh correct?

Answer 5

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

Answer 6

so that takes care of the triangles

Answer 7

for the hexagon, you start with this

Answer 8

and you break it up like this



it's not the best drawing, but each triangle inside the hexagon is congruent and it's an equilateral triangle

Answer 9

i got 72

Answer 10

i mean 96

Answer 11

i accidentally split my hexagon up wrong

Answer 12

the height of each triangle is 6 and the base is 4



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

Answer 13

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

Answer 14

thank you