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Math Videos 91 videos

ACT Aspire Math: Solving for x when It's in the Denominator
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ACT Aspire Math: Comparing Cost per Pound of Hello Kitty Candy
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ACT Aspire Math: How Many Hundredths Are There in Four Tenths?
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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

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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