Question

Fine the area A of the polygon with the given vertices.A(7,0), B(10,0), C(10,-1), D(7,-1)A= square units

Answer 1

$\text{Area}=3\text{ square units}$

Explanation

Step 1

you can watch that Y-coordinate for A and B is 0, it means both are in the same horizontal line, Y-coordinate for C and D is -1, it means both are in the same horizontal line, so, we have a rectangle

Step 2

fine the base and the height

$\begin{gathered} \text{base= distance from D to C, or distane from A to B} \\ DC=AB=\sqrt[]{(10-7)^2+(0)^2} \\ DC=AB=\sqrt[]{9=3} \\ \text{base}=3 \end{gathered}$

b) height

$\begin{gathered} \text{hegith}=\text{ distance fromA to D , or distance from B to C} \\ AD=\sqrt[]{(-1-0)^2}+(7-7) \\ AD=\sqrt[]{1} \\ AD=1 \end{gathered}$

Step 3

finally, the area is

$\begin{gathered} \text{Area of rectangle=base}\cdot heigth \\ \text{replace} \\ A=3\cdot1 \\ A=3un^2 \end{gathered}$

I hope this helps you