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NBA, Geometry and GCF / GCD

Adapted from tomstinson / NBA and Geometry (1)

Mark Cuban decides to give his basketball court a seasonal makeover. He wants to cover the entire court floor with a bunch of square-shaped, seasonal tiles.

The actual dimensions of an NBA basketball court is 94 feet long and 50 feet wide. Collectively, the tiles must cover the court exactly in area - not more and not less.

Look at the image below and just imagine square tiles covering the whole court.

What is the largest square tile Mark can use?
Answer: Square tile of length = feet

Aligned with Common Core:
6.NS.4 - Greatest Common Factor / Greatest Common Divisor

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Hints

First, we need to understand that they're asking for a GCF calculation here.

The key to this word problem is: the square tiles must fit the court perfectly - not more and not less. This means, the length of the square must be able to divide both 94 feet and 50 feet without remainder.

Tom Stinson

I breathe, love and teach Math. Love the NBA an...

Mark Cuban wants to give his basketball court a makeover. Help him figure out what he needs. Aligned with Common Core Math 6.NS.4 (Greatest Common Factor / Greatest Common Divisor).

math nba common core gcf gcd 6.ns.4