Find the area of the polygon. show your work

Look at the picture.

We have the triangle and the parallelogram.

The formula of an area of a triangle

We have b = 5 and h = 3. Substitute:

The fromula of an area of a parallelogram:

We have b = 5 and h = 3. Substitute:

The area of polygon:

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Other method. (look at the second picture).

We have the three congruent triangles. The area of the polygon is equal three times the area of a one triangle.

b = 5, h = 3. Subsitute.

The area of the polygon:

yes

step-by-step explanation:

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.