# ACT Aspire Math: Calculating the Side Length of Squares on a Chessboard

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?

ACT Aspire | Math |

ACT Aspire Math | Numbers & Operations-Fractions |

Math | Numbers & Operations-Fractions |

Product Type | ACT Aspire |

Test Prep | ACT Aspire ACT Aspire Math |

### Transcript

feet long Assuming that roof gang's pattern will take up

the entire surface area of the port what will the

side length of each individual square b in feet Huh

All right Well since chess is a game of release

slow deliberation Well we have some time to make a

joke now before we make our next move against the

the expire How do you move your king back through

time Easy Move him to before Never mind if a

chessboard contains an eight by eight pattern of squares Well

that means that there are eight squares along each side

of the board See One two three four seven eight

We want the side length of one square and were

given the total side length of the board Right So

divide the total length of the board that's one and

a quarter feet by eight to find the side length

of each square Well to make this calculation easier let's

change one and a quarter from being a mixed number

Two The equivalent improper fraction of five force and things

improper are so common here in months Dividing a number

is the same thing as multiple invites reciprocal So dividing

five force by eight which is really ate over one

is the same thing as multiplying five force by one

eighth Well when we do that we get five times

one is five and four times eight is thirty two

so that's five over thirty To answer is c checkmate