30

what is the area of this polygon? 28.5 units² 34.5 units² 37.5 units² 40.5 units² 6 sided polygon on a coordinate plane with vertices at (negative 6, negative 2), (negative 5, 1), (negative 1, 4), (1, 1), (5, 3), and (1, negative 2)

Break the shape up into 4 different shapes, 3 triangles and a rectangle.

Area of a triangle is 1/2 x base x height.

Area of rectangle is length x width.

Calculate the area for the 4 shapes and then add them together.

See the picture for the answer.

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm