What is the area of a parallelogram whose vertices are a(−4, 9) , b(11, 9) , c(5, −1) , and d(−10, −1) ?

Let

using a graphing tool  

see the attached figure to better understand the problem

we know that

Parallelogram is a quadrilateral with opposite sides parallel and equal in length

so

The area of a parallelogram 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 AE  

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 AE

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

substitute the values

Step 3

Find the area of the parallelogram

The area of a parallelogram is equal to

substitute the values

therefore

the answer is

the area of the parallelogram is

i think the answer is d im not sure