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Given the following equation, what is x?)
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ACT Aspire Math: Finding the Length of a Quilt from Its Plotted Area 0 Views
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Description:
Jane is making a quilt with fabric pieces of different shapes. If the final width of her quilt is
Transcript
- 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
Full Transcript
- 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
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