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3)

4)

Step-by-step explanation:

3)

The regular hexagon can be seen as consisting of 6 identical triangles, so its area is equal to six times the area of one triangle:

The area of one triangle can be written as:

where:

is the base of the triangle

is the height

Substituting,

And so, the area of the regular hexagon is:

4)

Here we have a complex figure consisting of several regular figures.

We observe that the figure consists of 2 parallelograms, on top and on bottom, so the total area of the figure is the sum of the areas of the two parallelograms:

where is the area of one parallelogram, which is given by

where:

b = 7 yd is the base of the parallelogram

h = 3 yd is the height of the parallelogram

Therefore, the area of the parallelogram is

And therefore, the area of the figure is:

mx+89b(-98)nb

step-by-step explanation: