Claire doesn't have an ice tray, so she makes ice by freezing water into a rectangle and then dividing the rectangle into grid-aligned cells. She would like to divide her block of ice into n rows and m columns quickly, before the ice melts! See the image below for an example. n = 6, (a) State the minimum number of cuts Claire needs to make to divide her ice block into n x m cells. One cut means splitting a rectangle into two rectangles. You may use n and/or m in your answer.

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Claire doesn't have an ice tray, so she makes ice by freezing water into a rectangle and
then dividing the rectangle into grid-aligned cells. She would like to divide her block of ice
into n rows and m columns quickly, before the ice melts! See the image below for an example.
n = 6,
(a) State the minimum number of cuts Claire needs to make to divide her ice block into
nx m cells. One cut means splitting a rectangle into two rectangles. You may use n
and/or m in your answer.
3
(b) Prove your answer from part (a).
Transcribed Image Text:Claire doesn't have an ice tray, so she makes ice by freezing water into a rectangle and then dividing the rectangle into grid-aligned cells. She would like to divide her block of ice into n rows and m columns quickly, before the ice melts! See the image below for an example. n = 6, (a) State the minimum number of cuts Claire needs to make to divide her ice block into nx m cells. One cut means splitting a rectangle into two rectangles. You may use n and/or m in your answer. 3 (b) Prove your answer from part (a).
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