On a coordinate plane, trapezoid A B C D has points (negative 5, negative 2), (negative 1, 2), (0, negative 1), (negative 2, negative 3). Trapezoid ABCD is graphed in a coordinate plane. What is the area of the trapezoid? 10 square units 12 square units 20 square units 24 square units

Respuesta :

Answer:

its c

Step-by-step explanation:

The area of the given trapezoid with coordinates of A, B, C and D is gotten to be; Area = 20 square units

How to find the area of a trapezoid?

We are given the coordinates of trapezoid ABCD as;

A = (-5, -2)

B = (-1, 2)

C = (0, -1)

D = (-2, -3)

Let us find the length of each side of the trapezoid by finding the distance between points:

AB = √[(-1 - (-5))² + (2 - (-2))²)]

AB = √32

BC = √[(0 - (-1))² + (-1 - 2)²)

BC = √10

CD = √[(-2 - 0)² + (-3 - (-1))²]

CD = √8

DA = √[(-5 - (-2))² + (-2 - (-3))²)]

DA = √10

Solving for the area from online calculator gives us 20 square units.

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