Question

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Answer 1

plot the 5 points, and make 4 trapezoids. Find the area of each trapezoid.

Answer 2

ok so I got (1,2) (3,3) (5,2) (6,1)

Answer 3

and (0,4)

now make trapezoids
you get 4 of them. see attached.

Answer 4

im not sure if i did it right but i took the area and got 2,6,4,and 1..

Answer 5

base times the average of the two "heights"
for example the first trapezoid has base 1 and average height 3 (from (4+2)/2 = 3)
that is area 3

Answer 6

or you could divide each trap into a rectangle and a triangle on top.
then add the areas of both shapes

Answer 7

ok ill do tht what do i do when i get the areas?

Answer 8

you add up all the areas
that represents how much trash was collected

Answer 9

ok thanks i got 16

Answer 10

I got something else.
what did you get for the first trapezoid.?

Answer 11

isnt the first one 3?

Answer 12

yes.
and the 2nd ?

Answer 13

oh wait i kinda see what i did wrong but is it 2.5?

Answer 14

the width is 2
the "average" height is (2+3)/2 = 2.5

Answer 15

ok and same for the next?

Answer 16

area is width * avg height

Answer 17

and the last 1.5?

Answer 18

yes, so
3+5+5+1.5

Answer 19

so 9.5?

Answer 20

3+5+5+1.5

Answer 21

I thought it was 2.5??

Answer 22

2.5 is the average height of the 2nd trapezoid (and ditto for the 3rd)
as a check, break the trapezoid into a rectangle and triangle.

Answer 23

or, if you look at the plot I posted, you can count the squares

Answer 24

oooh yeah my bad

Answer 25

Thank you!