ShmoopTube

00:02

Okay Math people More stuff for you to think about

00:05

In order to make a quilted snuggie jane must so

00:07

various square fabric scraps together into a single rectangular quilt

00:11

She counts the number of square fabric scraps she has

00:14

available and she records the respective areas of the pieces

00:19

she will use in a chart Well it's a final

00:21

with of direct tangle Er quilt will be seven thirds

00:25

meters Well what is the length of her quilt in

00:27

meters Okay Each dot on the chart represents a piece

00:34

of fabric with the indicated area so adding all of

00:36

them together gives us the total area of the quilt

00:39

We could just do that this way So the area

00:41

is ten pieces there times an eighth and then four

00:44

times a third and then six times a fourth naked

00:47

says what is that Ten age plus four thirds plus

00:50

six force Get him all in the common denominator Twenty

00:53

for their rhythm of play Top by three There we

00:55

get thirty And here we gotta multiply two top by

00:57

age thirty two and we gotta multiply the top six

01:00

thirty six at all that together it's ninety eight twenty

01:03

Force that reduces down teo a Divided by two They

01:07

get forty nine over twelve Well unfortunately the question doesn't

01:11

ask us for the total area We're looking for the

01:14

length of jane's quilt so we divide the total area

01:17

by the given with to find the length And that's

01:19

just areas length times with right so area divided by

01:22

with is length If we just kind of divide both

01:25

sides by with right so then we just plug in

01:27

shock Forty nine twelve by seven thirds equals forty nine

01:30

twelve times three sevens And before we jump into the

01:34

extreme fraction multiplication simplify the solution What does that get

01:37

us And cross out forty nine to get a one

01:40

there and a four down there So that gets us

01:43

seven force That's it much better The length of the 00:01:45.441 --> [endTime] quilt is seven force meters so the answer is

Full Transcript