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

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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

answer: 12

step-by-step explanation:

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