Question

help?

Answer 1

yes?

Answer 2

can you help me with math?

Answer 3

sure

Answer 4

Bev 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.

Answer 5

Sorry, but I forgot how to do this type of math.

Answer 6

oh

Answer 7

good luck getting help :)

Answer 8

ty

Answer 9

anybody here?????

Answer 10

😪

Answer 11

First, we need to divide up this entire shape. We can easily gather a triangle and a trapezoid, or two triangles and one rectangle. You will need to select which method you want to use to solve this problem.

By one triangle and one trapezoid is how I'll be solving this, so we'll need to equations for the area of a triangle and the area of a trapezoid. These two equations will look like this:

let b represent our base, and h represent our height.

1/2bh will be our triangle area equation, and
(base 1 + Base 2)h / 2 will be our trapezoid equation.

To solve for our triangle (the part on the top left) we need to first find its base and height. Do you know how that can be determined? If so, try solving for the area with the equations given.

Answer 12

Im not sure how to make the equation I've never done anything like this before so it's my first time

Answer 13

So for the triangle It's (height+base) and for the trapezoid its (base+base) right?

Answer 14

Triangle Area = base times height divided by 2, or one half base times height. 1/2bh

Trapezoid Area = Base 1 + Base 2 times the height, then divide by two. (b1+b2)h / 2

Answer 15

For the triangle would it be 15x25 x 1/2?

Answer 16

or 19x25x1/2

Answer 17

It'd be 15*15, because we get our height on the upper left side, labeled as 15 units. Then, we have to subtract 4 from 19 to get our base measurement, which is also 15 units Understand?

Answer 18

ahh okay got it

Answer 19

Make sure to divide by two though after 15*15

Answer 20

112.5

Answer 21

Correct, now that's one area down. We still have to find the area of the trapezoid. Do you feel comfortable doing that on your own?

Answer 22

Mhm!

Answer 23

Alright, what do you get?

Answer 24

(b+b) + h = ? then divide by two

Answer 25

i mean x*

Answer 26

No, it's (b1+b2) * h then divide by two

Answer 27

yeah exactly

Answer 28

Alright, so what do you get?

Answer 29

Would our bases be 29 and 4?

Answer 30

25 and 29, as we have to find the top and bottom of the trapezoid. That'd be the top and bottom. 29 is the undrawn segment between the top right point of our triangle and the bottom left point of the trapezoid. This is either a top or bottom piece of the trapezoid. 25 is a labeled segment that's the top and/or bottom of the trapezoid. We combine these two values first.

Answer 31

ah thank you im really bad at this its my first time

Answer 32

It's fine; it's a learning experience.

Answer 33

25+29= 54

Answer 34

then we multiply by the height

Answer 35

which is 25

Answer 36

wait no

Answer 37

that'd be a little too over

Answer 38

So 4?

Answer 39

It's the 4 because that's the length between the top and bottom segments.

Answer 40

so 216

Answer 41

then if you divide it by 2

Answer 42

Correct, then?

Answer 43

it'd be 108

Answer 44

108+112.5

Answer 45

Mhm. And that gives you?

Answer 46

220.5

Answer 47

Nicely done! That's the total area that Bev has to cut.

Answer 48

Thank you so much for your help I've been struggling with this for a while!

Answer 49

make sure to put your answer in units squared

Answer 50

Also, you're welcome. That's what we're here for.