Question

Lisa has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer.

(PLEASE WRITE SENTENCES EXPLAINING)

Answer 1

I actually answered this question this morning

Answer 2

where?

Answer 3

To find the area of the polygon, let's split it into two different trapezoids like this:

I also went ahead and wrote down the side lengths from the information they gave you

Answer 4

over here:
https://questioncove.com/study#/updates/605bf08f7e577a8f85591800

Answer 5

only i have
\to put sentences

Answer 6

Okay, we can do that too. Were you able to calculate the area of the trapezoid?

Answer 7

give me a sec...

Answer 8

what am i caculating?

Answer 9

what numbers

Answer 10

The area of each trapezoid..

Answer 11

\( \sf Area ~of~a~ trapezoid = \left(\dfrac{base_1 + base_2}{2}\right) \times height\)

Answer 12

What is the area of the first trapezoid?


Base 1 is 26
Base 2 is 6

and the height is 20

Answer 13

7

Answer 14

how did you calculate that

Answer 15

i have no clue

Answer 16

the first base is 26
the second base is 6

the height is 20

area = 20 * (26+6) /2

what is 26 + 6 =

Answer 17

32

Answer 18

okay now what is 32/2 =

Answer 19

16

Answer 20

now what is 20 * 16

Answer 21

320

Answer 22

so that's the volume of the first trapezoid

does that make sense??

Area = height * (base1 + base2) /2

height is 20
base1 is 26
base2 is 6

Area = 20 * (26+6)/2

Area = 20 * (32)/2

Area = 20 * 16

Area = 320

Answer 23

Does that make sense????

Answer 24

we still have to find the area of the second trapezoid

Answer 25

ok

Answer 26

What is the area of the second trapezoid?



Base 1 is 16
Base 2 is 10

and the height is 6

Answer 27

Can you do the same exact thing and find the area?

Area = height * (base1 + base2) / 2

Plug in the numbers

Answer 28

53

Answer 29

how even

Answer 30

i dont knowww

Answer 31

plug in the numbers

Answer 32

ohhh

Answer 33

13

Answer 34

what did you do to get 13

Answer 35

16+10 \ 2

Answer 36

okay, and then multiply it by 6

Answer 37

78

Answer 38

so that's the area of the second trapezoid

the first one had an area of 320
the second one had an area of 78

the total area of the polygon is the area of both trapezoids combined together

what is

320 + 78 = ?

Answer 39

398

Answer 40

so that's your final answer- the area that she'll be cutting

Answer 41

how do i put all that in sentences

Answer 42

+ as plus
* as multiply
a number as a number
/ as division
._.

Answer 43

Write down everything we did

To calculate the area of the polygon, we have to split it into two trapezoids.

The area of the first trapezoid is ...

show all your work here

The area of the second trapezoid is ...

show all your work here

The total area of the polygon is area of first trapezoid + area of second trapezoid which would be _____