Word Problem 26

Question

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1488

1

+201

A rectangular game board measures 126 centimeters by 90 centimeters. The game board is divided into small squares of equal size.

a. Find the longest possible length of the side of one of the small squares.[Hint: Use Prime factorization]

b. Find the least number of squares the game board can be equally divided into.

mathcalc Sep 22, 2014

+33661

+5

Best Answer

126 = 2*3*3*7

90 = 2*3*3*5

a. 2*3*3 is common to both, so the longest length of square possible will have length 2*3*3 = 18.

b. There will be 5 of them in one direction and 7 in the other. 5*7 = 35 squares.

Alan Sep 23, 2014

Alan · Answer 1 · 2014-09-23T06:53:37

126 = 2*3*3*7

90 = 2*3*3*5

a. 2*3*3 is common to both, so the longest length of square possible will have length 2*3*3 = 18.

b. There will be 5 of them in one direction and 7 in the other. 5*7 = 35 squares.