Question

Find the area. The figure is not drawn to scale.

Answer 1

Area of parallelogram = Base * Height

Answer 2

What's the base?

Answer 3

what about the little part thats outlined? how do i minus that?

Answer 4

ignore that

Answer 5

bass is 2.7

Answer 6

good

Answer 7

height?

Answer 8

height is 5.2

Answer 9

got it, so the area is?

Answer 10

14.04 that doesnt seem right

Answer 11

that's the correct answer

Answer 12

you cant just ignor the little dotted lines

Answer 13

why doesn't it seem right?

Answer 14

think of it like this

Answer 15

U have to minus the dotted lines

Answer 16

let x = the distance along the bottom dotted line

Answer 17

so that dotted line triangle has a base of x and a height of 5.2

Answer 18

the area of this triangle is then (base*height)/2 = (5.2x)/2 = 2.6x

So the area of the lower dotted triangle is 2.6x

Answer 19

ooooh okay i get it. so is this one the same concept?

Answer 20

17 x 4?

Answer 21

or thats 1/2 b x h right?!

Answer 22

there are two of these triangles, so their area adds to 5.2x

The area of the overall rectangle (including the triangles) is (2.7+x)*5.2 = 14.04 + 5.2x


So you subtract off the areas of the triangles: 14.04 + 5.2x - 5.2x = 14.04


Giving us the same answer

Answer 23

We can skip all this and just realize that the area for a parallelogram is base*height regardless of oddly shaped it is

Answer 24

What about the one i just sent you? is 1/2 b x h right?

Answer 25

the second one, the area of the triangle is

Area = (base*height)/2

Answer 26

or you can write it as 1/2b x h

Answer 27

can i get help with one more?

Answer 28

so you got it

Answer 29

sry, page took a bit of time to load

Answer 30

sure

Answer 31

yes i do get it thank you. but i need help with one more if you can

Answer 32

sure thing, whats on your mind

Answer 33

i have to find this area

Answer 34

alright, break this figure into pieces that you can deal with...so break it into a rectangle on the left and a triangle on the right

Answer 35

how do we find the area of a rectangle?

Answer 36

bxh?

Answer 37

and then half base x h? is it as simple as that?

Answer 38

good, this is because a rectangle is a parallelogram, so area of rectangle = base*height

Answer 39

the area of that triangle will be half of base times height

Answer 40

once you get the two individual areas, add them up to get the final answer

Answer 41

I got 131.5 and thats not one of my choices

Answer 42

ohhhh 144.5?

Answer 43

area of rectangle = base * height = 9*13 = 117

area of triangle = (base * height)/2 = (11*5)/2 = 55/2 = 27.5

Total area = 117+27.5 = 144.5

Answer 44

yes, you nailed it

Answer 45

You were really really helpful :) thank you!!!

Answer 46

glad to be of help