Question

Find the area of the polygon in square units. 2 8 6 12 4 6 8 The area is square units.

Answer 1

The polygon you have is a regular trapezoid. To find the area of a trapezoid you use the next formula:

`A=(1)/(2)(b_1+b_2)\cdot h`

b1 is the base 1

b2 is the base 2

h is the height

For the given rapezoid:

b1: Distance between x=-1 and x=-5. b1=4 units

b2: Distance between x=-2 and x=-4. b2= 2units

h: Distance between y=-1 and y=-6. h=5 units

`\begin{gathered} A=(1)/(2)(4u+2u)\cdot5u \\ \\ A=(1)/(2)(6u)\cdot5u \\ \\ A=(30u^2)/(2) \\ \\ A=15u^2 \end{gathered}`The area is 15 square units