Question

Polygon ABCD has the following vertices:

A(−5, 4), B(1, 4), C(6, −4), and D(−5, −4)

Calculate the area of the polygon.

Answer 1

Do you know the formula for the area of a trapezoid?

Answer 2

First, we want to use the distance formula to find the distances of our points to get the area of this polygon. Do that to find the measurement of segments AB, BC, CD, and AD.

Answer 3

(base+base) x height

Answer 4

Can you find the length of the two bases? All you have to do is count the number of boxes since each box is 1 unit long

Answer 5

68 units squared

Answer 6

You counted 68?

Answer 7

No

Answer 8

I counted by 8's until it started curving

Answer 9

Oh, you calculated the area

Answer 10

yeah exactly

Answer 11

That is correct

1/2 * (6 + 11) * 8
= 68 units squared

Answer 12

Tysm!

Answer 13

You're welcome!

Answer 14

Also could you send me the picture of the board you used?

Answer 15

I cant find one

Answer 16

I mean coordinate plane graph

Answer 17

my bad

Answer 18

I used https://www.desmos.com/calculator to plot the points and then took a screenshot of it and then drew some lines between the points for you to see the trapezoid better

Answer 19

ahhh okay!

Answer 20

tysm for the help :)

Answer 21

Glad I could be of assistance!