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Numbers & Operations-Fractions Videos 5 videos
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ACT Aspire Math: Calculating the Side Length of Squares on a Chessboard 0 Views
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Description:
Wolfgang wants to paint an 8 × 8 pattern of equal squares on a square board to create his own chess board. One side of the board measures feet long. Assuming that Wolfgang's pattern will take up the entire surface area of the board, what will the side length of each individual square be in feet?
Transcript
- 00:02
All right a c t math drillers here Let's keep
- 00:04
going Woof gang wolfgang as they say in american wants
- 00:10
to paint an eight by eight pattern of equal squares
- 00:13
on a square board to create his own chess board
- 00:16
One side of the board measures one and a quarter
Full Transcript
- 00:19
feet long Assuming that roof gang's pattern will take up
- 00:22
the entire surface area of the port what will the
- 00:25
side length of each individual square b in feet Huh
- 00:34
All right Well since chess is a game of release
- 00:36
slow deliberation Well we have some time to make a
- 00:39
joke now before we make our next move against the
- 00:42
the expire How do you move your king back through
- 00:46
time Easy Move him to before Never mind if a
- 00:51
chessboard contains an eight by eight pattern of squares Well
- 00:54
that means that there are eight squares along each side
- 00:57
of the board See One two three four seven eight
- 00:58
We want the side length of one square and were
- 01:01
given the total side length of the board Right So
- 01:05
divide the total length of the board that's one and
- 01:07
a quarter feet by eight to find the side length
- 01:10
of each square Well to make this calculation easier let's
- 01:13
change one and a quarter from being a mixed number
- 01:15
Two The equivalent improper fraction of five force and things
- 01:19
improper are so common here in months Dividing a number
- 01:22
is the same thing as multiple invites reciprocal So dividing
- 01:25
five force by eight which is really ate over one
- 01:29
is the same thing as multiplying five force by one
- 01:32
eighth Well when we do that we get five times
- 01:35
one is five and four times eight is thirty two
- 01:38
so that's five over thirty To answer is c checkmate
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