What is the area of the rectangle?

40 units²
45 units²
50 units²
55 units²

a rectangle is graphed on a coordinate plane. the horizontal x-axis ranges from negative 10 to 10 in increments of 1. the vertical y-axis ranges from negative 10 to 10 in increments of 1. the vertices of the rectangle lie on begin ordered pair negative 5 comma 5 end ordered pair and begin ordered pair negative 1 comma 7 end ordered pair and begin ordered pair 4 comma negative 3 end ordered pair and begin ordered pair 0 comma negative 5 end ordered pair.

Step-by-step explanation:

Plot the figure to better understand the problem

see the attached figure

we know that

If the figure is a rectangle          

then

The area of the rectangle is equal to

 where  

B is the base  

h is the height  

the base B is equal to the distance AB

the height h is equal to the distance AD  

Step 1

Find the distance AB

the formula to calculate the distance between two points is equal to

substitute the values

Step 2

Find the distance AD

the formula to calculate the distance between two points is equal to

substitute the values

Step 3

Find the area of the rectangle

we have

substitute

step-by-step explanation: